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Finding the Fourth Proportional to 83,182.92, 114,779.16 and 47,373.60

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Solution

The fourth proportional to 83,182.92, 114,779.16 and 47,373.60 is: 65,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,182.92 : 114,779.16 = 47,373.60 : x
  2. Step 2: Convert to fraction form
    83,182.92/114,779.16 = 47,373.60/x
  3. Step 3: Cross multiply
    83,182.92x = 114,779.16 × 47,373.60
  4. Step 4: Simplify right side
    83,182.92x = 5,437,502,014.18
  5. Step 5: Solve for x
    x = 5,437,502,014.18/83,182.92
  6. Step 6: Final answer
    x = 65,368.01

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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.