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Finding the Fourth Proportional to 82,955.64, 114,478.59 and 45,229.86

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Solution

The fourth proportional to 82,955.64, 114,478.59 and 45,229.86 is: 62,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,955.64 : 114,478.59 = 45,229.86 : x
  2. Step 2: Convert to fraction form
    82,955.64/114,478.59 = 45,229.86/x
  3. Step 3: Cross multiply
    82,955.64x = 114,478.59 × 45,229.86
  4. Step 4: Simplify right side
    82,955.64x = 5,177,850,598.70
  5. Step 5: Solve for x
    x = 5,177,850,598.70/82,955.64
  6. Step 6: Final answer
    x = 62,417.10

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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.