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Finding the Fourth Proportional to 83,151.62, 124,776.64 and 30,598.01

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Solution

The fourth proportional to 83,151.62, 124,776.64 and 30,598.01 is: 45,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,151.62 : 124,776.64 = 30,598.01 : x
  2. Step 2: Convert to fraction form
    83,151.62/124,776.64 = 30,598.01/x
  3. Step 3: Cross multiply
    83,151.62x = 124,776.64 × 30,598.01
  4. Step 4: Simplify right side
    83,151.62x = 3,817,916,878.49
  5. Step 5: Solve for x
    x = 3,817,916,878.49/83,151.62
  6. Step 6: Final answer
    x = 45,915.12

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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.