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Finding the Fourth Proportional to 75,766.92, 104,515.54 and 47,423.40

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Solution

The fourth proportional to 75,766.92, 104,515.54 and 47,423.40 is: 65,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,766.92 : 104,515.54 = 47,423.40 : x
  2. Step 2: Convert to fraction form
    75,766.92/104,515.54 = 47,423.40/x
  3. Step 3: Cross multiply
    75,766.92x = 104,515.54 × 47,423.40
  4. Step 4: Simplify right side
    75,766.92x = 4,956,482,141.08
  5. Step 5: Solve for x
    x = 4,956,482,141.08/75,766.92
  6. Step 6: Final answer
    x = 65,417.50

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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.