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Finding the Fourth Proportional to 76,197.64, 105,204.12 and 47,560.92

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Solution

The fourth proportional to 76,197.64, 105,204.12 and 47,560.92 is: 65,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,197.64 : 105,204.12 = 47,560.92 : x
  2. Step 2: Convert to fraction form
    76,197.64/105,204.12 = 47,560.92/x
  3. Step 3: Cross multiply
    76,197.64x = 105,204.12 × 47,560.92
  4. Step 4: Simplify right side
    76,197.64x = 5,003,605,307.86
  5. Step 5: Solve for x
    x = 5,003,605,307.86/76,197.64
  6. Step 6: Final answer
    x = 65,666.14

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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.