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Finding the Fourth Proportional to 70,508.30, 97,267.92 and 42,208.52

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Solution

The fourth proportional to 70,508.30, 97,267.92 and 42,208.52 is: 58,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508.30 : 97,267.92 = 42,208.52 : x
  2. Step 2: Convert to fraction form
    70,508.30/97,267.92 = 42,208.52/x
  3. Step 3: Cross multiply
    70,508.30x = 97,267.92 × 42,208.52
  4. Step 4: Simplify right side
    70,508.30x = 4,105,534,946.68
  5. Step 5: Solve for x
    x = 4,105,534,946.68/70,508.30
  6. Step 6: Final answer
    x = 58,227.68

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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.