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Finding the Fourth Proportional to 76,172.64, 114,275.64 and 22,862.40

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Solution

The fourth proportional to 76,172.64, 114,275.64 and 22,862.40 is: 34,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,172.64 : 114,275.64 = 22,862.40 : x
  2. Step 2: Convert to fraction form
    76,172.64/114,275.64 = 22,862.40/x
  3. Step 3: Cross multiply
    76,172.64x = 114,275.64 × 22,862.40
  4. Step 4: Simplify right side
    76,172.64x = 2,612,615,391.94
  5. Step 5: Solve for x
    x = 2,612,615,391.94/76,172.64
  6. Step 6: Final answer
    x = 34,298.61

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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.