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Finding the Fourth Proportional to 82,752.71, 114,181.29 and 54,114.35

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Solution

The fourth proportional to 82,752.71, 114,181.29 and 54,114.35 is: 74,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,752.71 : 114,181.29 = 54,114.35 : x
  2. Step 2: Convert to fraction form
    82,752.71/114,181.29 = 54,114.35/x
  3. Step 3: Cross multiply
    82,752.71x = 114,181.29 × 54,114.35
  4. Step 4: Simplify right side
    82,752.71x = 6,178,845,719.61
  5. Step 5: Solve for x
    x = 6,178,845,719.61/82,752.71
  6. Step 6: Final answer
    x = 74,666.39

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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.