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Finding the Fourth Proportional to 105,732.90, 145,915.65 and 57,987.99

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Solution

The fourth proportional to 105,732.90, 145,915.65 and 57,987.99 is: 80,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,732.90 : 145,915.65 = 57,987.99 : x
  2. Step 2: Convert to fraction form
    105,732.90/145,915.65 = 57,987.99/x
  3. Step 3: Cross multiply
    105,732.90x = 145,915.65 × 57,987.99
  4. Step 4: Simplify right side
    105,732.90x = 8,461,355,253.04
  5. Step 5: Solve for x
    x = 8,461,355,253.04/105,732.90
  6. Step 6: Final answer
    x = 80,025.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.