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Finding the Fourth Proportional to 70,172.46, 96,838.34 and 38,341.89

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Solution

The fourth proportional to 70,172.46, 96,838.34 and 38,341.89 is: 52,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,172.46 : 96,838.34 = 38,341.89 : x
  2. Step 2: Convert to fraction form
    70,172.46/96,838.34 = 38,341.89/x
  3. Step 3: Cross multiply
    70,172.46x = 96,838.34 × 38,341.89
  4. Step 4: Simplify right side
    70,172.46x = 3,712,964,788.35
  5. Step 5: Solve for x
    x = 3,712,964,788.35/70,172.46
  6. Step 6: Final answer
    x = 52,911.99

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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.