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Finding the Fourth Proportional to 52,098.81, 71,838.48 and 37,730.22

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Solution

The fourth proportional to 52,098.81, 71,838.48 and 37,730.22 is: 52,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098.81 : 71,838.48 = 37,730.22 : x
  2. Step 2: Convert to fraction form
    52,098.81/71,838.48 = 37,730.22/x
  3. Step 3: Cross multiply
    52,098.81x = 71,838.48 × 37,730.22
  4. Step 4: Simplify right side
    52,098.81x = 2,710,481,654.87
  5. Step 5: Solve for x
    x = 2,710,481,654.87/52,098.81
  6. Step 6: Final answer
    x = 52,025.79

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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.