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Finding the Fourth Proportional to 82,748.64, 114,193.62 and 45,023.16

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Solution

The fourth proportional to 82,748.64, 114,193.62 and 45,023.16 is: 62,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,748.64 : 114,193.62 = 45,023.16 : x
  2. Step 2: Convert to fraction form
    82,748.64/114,193.62 = 45,023.16/x
  3. Step 3: Cross multiply
    82,748.64x = 114,193.62 × 45,023.16
  4. Step 4: Simplify right side
    82,748.64x = 5,141,357,624.24
  5. Step 5: Solve for x
    x = 5,141,357,624.24/82,748.64
  6. Step 6: Final answer
    x = 62,132.23

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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.