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Finding the Fourth Proportional to 47,098, 64,995.28 and 25,877.68

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Solution

The fourth proportional to 47,098, 64,995.28 and 25,877.68 is: 35,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,098 : 64,995.28 = 25,877.68 : x
  2. Step 2: Convert to fraction form
    47,098/64,995.28 = 25,877.68/x
  3. Step 3: Cross multiply
    47,098x = 64,995.28 × 25,877.68
  4. Step 4: Simplify right side
    47,098x = 1,681,927,057.35
  5. Step 5: Solve for x
    x = 1,681,927,057.35/47,098
  6. Step 6: Final answer
    x = 35,711.22

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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.