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Finding the Fourth Proportional to 31,674,269.86, 47,494,046.22 and 9,808,578.94

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Solution

The fourth proportional to 31,674,269.86, 47,494,046.22 and 9,808,578.94 is: 14,707,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674,269.86 : 47,494,046.22 = 9,808,578.94 : x
  2. Step 2: Convert to fraction form
    31,674,269.86/47,494,046.22 = 9,808,578.94/x
  3. Step 3: Cross multiply
    31,674,269.86x = 47,494,046.22 × 9,808,578.94
  4. Step 4: Simplify right side
    31,674,269.86x = 465,849,101,528,878.56
  5. Step 5: Solve for x
    x = 465,849,101,528,878.56/31,674,269.86
  6. Step 6: Final answer
    x = 14,707,492.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.