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Finding the Fourth Proportional to 97,497.88, 146,228.32 and 47,527.72

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Solution

The fourth proportional to 97,497.88, 146,228.32 and 47,527.72 is: 71,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,497.88 : 146,228.32 = 47,527.72 : x
  2. Step 2: Convert to fraction form
    97,497.88/146,228.32 = 47,527.72/x
  3. Step 3: Cross multiply
    97,497.88x = 146,228.32 × 47,527.72
  4. Step 4: Simplify right side
    97,497.88x = 6,949,898,649.03
  5. Step 5: Solve for x
    x = 6,949,898,649.03/97,497.88
  6. Step 6: Final answer
    x = 71,282.56

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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.