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Finding the Fourth Proportional to 82,923.46, 114,437.54 and 45,197.71

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Solution

The fourth proportional to 82,923.46, 114,437.54 and 45,197.71 is: 62,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,923.46 : 114,437.54 = 45,197.71 : x
  2. Step 2: Convert to fraction form
    82,923.46/114,437.54 = 45,197.71/x
  3. Step 3: Cross multiply
    82,923.46x = 114,437.54 × 45,197.71
  4. Step 4: Simplify right side
    82,923.46x = 5,172,314,572.93
  5. Step 5: Solve for x
    x = 5,172,314,572.93/82,923.46
  6. Step 6: Final answer
    x = 62,374.56

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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.