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Finding the Fourth Proportional to 52,528.38, 78,807.15 and 22,146.90

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Solution

The fourth proportional to 52,528.38, 78,807.15 and 22,146.90 is: 33,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,528.38 : 78,807.15 = 22,146.90 : x
  2. Step 2: Convert to fraction form
    52,528.38/78,807.15 = 22,146.90/x
  3. Step 3: Cross multiply
    52,528.38x = 78,807.15 × 22,146.90
  4. Step 4: Simplify right side
    52,528.38x = 1,745,334,070.34
  5. Step 5: Solve for x
    x = 1,745,334,070.34/52,528.38
  6. Step 6: Final answer
    x = 33,226.50

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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.