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Finding the Fourth Proportional to 98,042, 146,829 and 56,401.52

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Solution

The fourth proportional to 98,042, 146,829 and 56,401.52 is: 84,467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,042 : 146,829 = 56,401.52 : x
  2. Step 2: Convert to fraction form
    98,042/146,829 = 56,401.52/x
  3. Step 3: Cross multiply
    98,042x = 146,829 × 56,401.52
  4. Step 4: Simplify right side
    98,042x = 8,281,378,780.08
  5. Step 5: Solve for x
    x = 8,281,378,780.08/98,042
  6. Step 6: Final answer
    x = 84,467.66

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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.