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Finding the Fourth Proportional to 82,929.53, 114,442.76 and 45,203.78

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Solution

The fourth proportional to 82,929.53, 114,442.76 and 45,203.78 is: 62,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,929.53 : 114,442.76 = 45,203.78 : x
  2. Step 2: Convert to fraction form
    82,929.53/114,442.76 = 45,203.78/x
  3. Step 3: Cross multiply
    82,929.53x = 114,442.76 × 45,203.78
  4. Step 4: Simplify right side
    82,929.53x = 5,173,245,119.61
  5. Step 5: Solve for x
    x = 5,173,245,119.61/82,929.53
  6. Step 6: Final answer
    x = 62,381.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.