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Finding the Fourth Proportional to 52,252.74, 78,335.10 and 42,367.50

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Solution

The fourth proportional to 52,252.74, 78,335.10 and 42,367.50 is: 63,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,252.74 : 78,335.10 = 42,367.50 : x
  2. Step 2: Convert to fraction form
    52,252.74/78,335.10 = 42,367.50/x
  3. Step 3: Cross multiply
    52,252.74x = 78,335.10 × 42,367.50
  4. Step 4: Simplify right side
    52,252.74x = 3,318,862,349.25
  5. Step 5: Solve for x
    x = 3,318,862,349.25/52,252.74
  6. Step 6: Final answer
    x = 63,515.57

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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.