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Finding the Fourth Proportional to 82,957.25, 124,560.48 and 47,458.64

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Solution

The fourth proportional to 82,957.25, 124,560.48 and 47,458.64 is: 71,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.25 : 124,560.48 = 47,458.64 : x
  2. Step 2: Convert to fraction form
    82,957.25/124,560.48 = 47,458.64/x
  3. Step 3: Cross multiply
    82,957.25x = 124,560.48 × 47,458.64
  4. Step 4: Simplify right side
    82,957.25x = 5,911,470,355.74
  5. Step 5: Solve for x
    x = 5,911,470,355.74/82,957.25
  6. Step 6: Final answer
    x = 71,259.24

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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.