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Finding the Fourth Proportional to 49,417.90, 74,134.07 and 14,353

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Solution

The fourth proportional to 49,417.90, 74,134.07 and 14,353 is: 21,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,417.90 : 74,134.07 = 14,353 : x
  2. Step 2: Convert to fraction form
    49,417.90/74,134.07 = 14,353/x
  3. Step 3: Cross multiply
    49,417.90x = 74,134.07 × 14,353
  4. Step 4: Simplify right side
    49,417.90x = 1,064,046,306.71
  5. Step 5: Solve for x
    x = 1,064,046,306.71/49,417.90
  6. Step 6: Final answer
    x = 21,531.60

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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.