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Finding the Fourth Proportional to 52,062.50, 78,101.14 and 16,533.88

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Solution

The fourth proportional to 52,062.50, 78,101.14 and 16,533.88 is: 24,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062.50 : 78,101.14 = 16,533.88 : x
  2. Step 2: Convert to fraction form
    52,062.50/78,101.14 = 16,533.88/x
  3. Step 3: Cross multiply
    52,062.50x = 78,101.14 × 16,533.88
  4. Step 4: Simplify right side
    52,062.50x = 1,291,314,876.62
  5. Step 5: Solve for x
    x = 1,291,314,876.62/52,062.50
  6. Step 6: Final answer
    x = 24,803.17

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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.