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Finding the Fourth Proportional to 42,875, 59,167.52 and 24,012.13

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Solution

The fourth proportional to 42,875, 59,167.52 and 24,012.13 is: 33,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,875 : 59,167.52 = 24,012.13 : x
  2. Step 2: Convert to fraction form
    42,875/59,167.52 = 24,012.13/x
  3. Step 3: Cross multiply
    42,875x = 59,167.52 × 24,012.13
  4. Step 4: Simplify right side
    42,875x = 1,420,738,182.02
  5. Step 5: Solve for x
    x = 1,420,738,182.02/42,875
  6. Step 6: Final answer
    x = 33,136.75

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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.