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Finding the Fourth Proportional to 31,046.84, 46,574.91 and 14,408.57

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Solution

The fourth proportional to 31,046.84, 46,574.91 and 14,408.57 is: 21,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.84 : 46,574.91 = 14,408.57 : x
  2. Step 2: Convert to fraction form
    31,046.84/46,574.91 = 14,408.57/x
  3. Step 3: Cross multiply
    31,046.84x = 46,574.91 × 14,408.57
  4. Step 4: Simplify right side
    31,046.84x = 671,077,967.42
  5. Step 5: Solve for x
    x = 671,077,967.42/31,046.84
  6. Step 6: Final answer
    x = 21,615.02

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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.