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Finding the Fourth Proportional to 52,298.98, 78,404.74 and 24,239.14

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Solution

The fourth proportional to 52,298.98, 78,404.74 and 24,239.14 is: 36,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,298.98 : 78,404.74 = 24,239.14 : x
  2. Step 2: Convert to fraction form
    52,298.98/78,404.74 = 24,239.14/x
  3. Step 3: Cross multiply
    52,298.98x = 78,404.74 × 24,239.14
  4. Step 4: Simplify right side
    52,298.98x = 1,900,463,212.91
  5. Step 5: Solve for x
    x = 1,900,463,212.91/52,298.98
  6. Step 6: Final answer
    x = 36,338.44

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1.5x scale

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.