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Finding the Fourth Proportional to 56,537, 78,017.12 and 31,384.52

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Solution

The fourth proportional to 56,537, 78,017.12 and 31,384.52 is: 43,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,537 : 78,017.12 = 31,384.52 : x
  2. Step 2: Convert to fraction form
    56,537/78,017.12 = 31,384.52/x
  3. Step 3: Cross multiply
    56,537x = 78,017.12 × 31,384.52
  4. Step 4: Simplify right side
    56,537x = 2,448,529,862.98
  5. Step 5: Solve for x
    x = 2,448,529,862.98/56,537
  6. Step 6: Final answer
    x = 43,308.45

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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.