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Finding the Fourth Proportional to 76,616.01, 114,948.54 and 31,658.49

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Solution

The fourth proportional to 76,616.01, 114,948.54 and 31,658.49 is: 47,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,616.01 : 114,948.54 = 31,658.49 : x
  2. Step 2: Convert to fraction form
    76,616.01/114,948.54 = 31,658.49/x
  3. Step 3: Cross multiply
    76,616.01x = 114,948.54 × 31,658.49
  4. Step 4: Simplify right side
    76,616.01x = 3,639,097,204.10
  5. Step 5: Solve for x
    x = 3,639,097,204.10/76,616.01
  6. Step 6: Final answer
    x = 47,497.87

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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.