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Finding the Fourth Proportional to 98,306.52, 147,459.74 and 24,434.52

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Solution

The fourth proportional to 98,306.52, 147,459.74 and 24,434.52 is: 36,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,306.52 : 147,459.74 = 24,434.52 : x
  2. Step 2: Convert to fraction form
    98,306.52/147,459.74 = 24,434.52/x
  3. Step 3: Cross multiply
    98,306.52x = 147,459.74 × 24,434.52
  4. Step 4: Simplify right side
    98,306.52x = 3,603,107,966.22
  5. Step 5: Solve for x
    x = 3,603,107,966.22/98,306.52
  6. Step 6: Final answer
    x = 36,651.77

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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.