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Finding the Fourth Proportional to 52,061.50, 78,094.41 and 15,125.50

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Solution

The fourth proportional to 52,061.50, 78,094.41 and 15,125.50 is: 22,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,061.50 : 78,094.41 = 15,125.50 : x
  2. Step 2: Convert to fraction form
    52,061.50/78,094.41 = 15,125.50/x
  3. Step 3: Cross multiply
    52,061.50x = 78,094.41 × 15,125.50
  4. Step 4: Simplify right side
    52,061.50x = 1,181,216,998.46
  5. Step 5: Solve for x
    x = 1,181,216,998.46/52,061.50
  6. Step 6: Final answer
    x = 22,688.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.