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Finding the Fourth Proportional to 71,041.52, 106,564.98 and 23,660.84

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Solution

The fourth proportional to 71,041.52, 106,564.98 and 23,660.84 is: 35,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,041.52 : 106,564.98 = 23,660.84 : x
  2. Step 2: Convert to fraction form
    71,041.52/106,564.98 = 23,660.84/x
  3. Step 3: Cross multiply
    71,041.52x = 106,564.98 × 23,660.84
  4. Step 4: Simplify right side
    71,041.52x = 2,521,416,941.38
  5. Step 5: Solve for x
    x = 2,521,416,941.38/71,041.52
  6. Step 6: Final answer
    x = 35,492.16

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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.