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Finding the Fourth Proportional to 52,298.08, 72,171.91 and 28,424.76

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Solution

The fourth proportional to 52,298.08, 72,171.91 and 28,424.76 is: 39,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,298.08 : 72,171.91 = 28,424.76 : x
  2. Step 2: Convert to fraction form
    52,298.08/72,171.91 = 28,424.76/x
  3. Step 3: Cross multiply
    52,298.08x = 72,171.91 × 28,424.76
  4. Step 4: Simplify right side
    52,298.08x = 2,051,468,985.38
  5. Step 5: Solve for x
    x = 2,051,468,985.38/52,298.08
  6. Step 6: Final answer
    x = 39,226.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.