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Finding the Fourth Proportional to 76,947.52, 106,187.68 and 43,416.64

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Solution

The fourth proportional to 76,947.52, 106,187.68 and 43,416.64 is: 59,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,947.52 : 106,187.68 = 43,416.64 : x
  2. Step 2: Convert to fraction form
    76,947.52/106,187.68 = 43,416.64/x
  3. Step 3: Cross multiply
    76,947.52x = 106,187.68 × 43,416.64
  4. Step 4: Simplify right side
    76,947.52x = 4,610,312,275.00
  5. Step 5: Solve for x
    x = 4,610,312,275.00/76,947.52
  6. Step 6: Final answer
    x = 59,915.02

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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.