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Finding the Fourth Proportional to 65,019.71, 97,557.74 and 22,929.87

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Solution

The fourth proportional to 65,019.71, 97,557.74 and 22,929.87 is: 34,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,019.71 : 97,557.74 = 22,929.87 : x
  2. Step 2: Convert to fraction form
    65,019.71/97,557.74 = 22,929.87/x
  3. Step 3: Cross multiply
    65,019.71x = 97,557.74 × 22,929.87
  4. Step 4: Simplify right side
    65,019.71x = 2,236,986,181.04
  5. Step 5: Solve for x
    x = 2,236,986,181.04/65,019.71
  6. Step 6: Final answer
    x = 34,404.74

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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.