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Finding the Fourth Proportional to 51,098.80, 76,502.40 and 31,415.80

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Solution

The fourth proportional to 51,098.80, 76,502.40 and 31,415.80 is: 47,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,098.80 : 76,502.40 = 31,415.80 : x
  2. Step 2: Convert to fraction form
    51,098.80/76,502.40 = 31,415.80/x
  3. Step 3: Cross multiply
    51,098.80x = 76,502.40 × 31,415.80
  4. Step 4: Simplify right side
    51,098.80x = 2,403,384,097.92
  5. Step 5: Solve for x
    x = 2,403,384,097.92/51,098.80
  6. Step 6: Final answer
    x = 47,034.06

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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.