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Finding the Fourth Proportional to 75,657.99, 104,478.89 and 47,412.89

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Solution

The fourth proportional to 75,657.99, 104,478.89 and 47,412.89 is: 65,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,657.99 : 104,478.89 = 47,412.89 : x
  2. Step 2: Convert to fraction form
    75,657.99/104,478.89 = 47,412.89/x
  3. Step 3: Cross multiply
    75,657.99x = 104,478.89 × 47,412.89
  4. Step 4: Simplify right side
    75,657.99x = 4,953,645,359.43
  5. Step 5: Solve for x
    x = 4,953,645,359.43/75,657.99
  6. Step 6: Final answer
    x = 65,474.19

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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.