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Finding the Fourth Proportional to 59,791, 82,513.77 and 37,142.50

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Solution

The fourth proportional to 59,791, 82,513.77 and 37,142.50 is: 51,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,791 : 82,513.77 = 37,142.50 : x
  2. Step 2: Convert to fraction form
    59,791/82,513.77 = 37,142.50/x
  3. Step 3: Cross multiply
    59,791x = 82,513.77 × 37,142.50
  4. Step 4: Simplify right side
    59,791x = 3,064,767,702.23
  5. Step 5: Solve for x
    x = 3,064,767,702.23/59,791
  6. Step 6: Final answer
    x = 51,258.01

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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.