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Finding the Fourth Proportional to 70,924.87, 97,916.30 and 47,084.14

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Solution

The fourth proportional to 70,924.87, 97,916.30 and 47,084.14 is: 65,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,924.87 : 97,916.30 = 47,084.14 : x
  2. Step 2: Convert to fraction form
    70,924.87/97,916.30 = 47,084.14/x
  3. Step 3: Cross multiply
    70,924.87x = 97,916.30 × 47,084.14
  4. Step 4: Simplify right side
    70,924.87x = 4,610,304,777.48
  5. Step 5: Solve for x
    x = 4,610,304,777.48/70,924.87
  6. Step 6: Final answer
    x = 65,002.65

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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.