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Finding the Fourth Proportional to 78,205.92, 107,925.52 and 44,672.16

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Solution

The fourth proportional to 78,205.92, 107,925.52 and 44,672.16 is: 61,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,205.92 : 107,925.52 = 44,672.16 : x
  2. Step 2: Convert to fraction form
    78,205.92/107,925.52 = 44,672.16/x
  3. Step 3: Cross multiply
    78,205.92x = 107,925.52 × 44,672.16
  4. Step 4: Simplify right side
    78,205.92x = 4,821,266,097.52
  5. Step 5: Solve for x
    x = 4,821,266,097.52/78,205.92
  6. Step 6: Final answer
    x = 61,648.35

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1.5x scale

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.