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Finding the Fourth Proportional to 82,772.64, 124,166.25 and 23,607

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Solution

The fourth proportional to 82,772.64, 124,166.25 and 23,607 is: 35,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,772.64 : 124,166.25 = 23,607 : x
  2. Step 2: Convert to fraction form
    82,772.64/124,166.25 = 23,607/x
  3. Step 3: Cross multiply
    82,772.64x = 124,166.25 × 23,607
  4. Step 4: Simplify right side
    82,772.64x = 2,931,192,663.75
  5. Step 5: Solve for x
    x = 2,931,192,663.75/82,772.64
  6. Step 6: Final answer
    x = 35,412.58

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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.