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Finding the Fourth Proportional to 83,141.82, 124,712.73 and 49,820.16

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Solution

The fourth proportional to 83,141.82, 124,712.73 and 49,820.16 is: 74,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,141.82 : 124,712.73 = 49,820.16 : x
  2. Step 2: Convert to fraction form
    83,141.82/124,712.73 = 49,820.16/x
  3. Step 3: Cross multiply
    83,141.82x = 124,712.73 × 49,820.16
  4. Step 4: Simplify right side
    83,141.82x = 6,213,208,162.64
  5. Step 5: Solve for x
    x = 6,213,208,162.64/83,141.82
  6. Step 6: Final answer
    x = 74,730.24

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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.