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Finding the Fourth Proportional to 97,527.66, 146,294.22 and 47,647.66

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Solution

The fourth proportional to 97,527.66, 146,294.22 and 47,647.66 is: 71,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,527.66 : 146,294.22 = 47,647.66 : x
  2. Step 2: Convert to fraction form
    97,527.66/146,294.22 = 47,647.66/x
  3. Step 3: Cross multiply
    97,527.66x = 146,294.22 × 47,647.66
  4. Step 4: Simplify right side
    97,527.66x = 6,970,577,067.47
  5. Step 5: Solve for x
    x = 6,970,577,067.47/97,527.66
  6. Step 6: Final answer
    x = 71,472.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.