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Finding the Fourth Proportional to 31,419.95, 47,130.33 and 8,045.78

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Solution

The fourth proportional to 31,419.95, 47,130.33 and 8,045.78 is: 12,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419.95 : 47,130.33 = 8,045.78 : x
  2. Step 2: Convert to fraction form
    31,419.95/47,130.33 = 8,045.78/x
  3. Step 3: Cross multiply
    31,419.95x = 47,130.33 × 8,045.78
  4. Step 4: Simplify right side
    31,419.95x = 379,200,266.51
  5. Step 5: Solve for x
    x = 379,200,266.51/31,419.95
  6. Step 6: Final answer
    x = 12,068.77

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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.