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Finding the Fourth Proportional to 82,973.60, 124,410.32 and 33,061.40

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Solution

The fourth proportional to 82,973.60, 124,410.32 and 33,061.40 is: 49,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,973.60 : 124,410.32 = 33,061.40 : x
  2. Step 2: Convert to fraction form
    82,973.60/124,410.32 = 33,061.40/x
  3. Step 3: Cross multiply
    82,973.60x = 124,410.32 × 33,061.40
  4. Step 4: Simplify right side
    82,973.60x = 4,113,179,353.65
  5. Step 5: Solve for x
    x = 4,113,179,353.65/82,973.60
  6. Step 6: Final answer
    x = 49,572.15

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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.