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Finding the Fourth Proportional to 82,752, 124,152.48 and 47,716.80

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Solution

The fourth proportional to 82,752, 124,152.48 and 47,716.80 is: 71,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,752 : 124,152.48 = 47,716.80 : x
  2. Step 2: Convert to fraction form
    82,752/124,152.48 = 47,716.80/x
  3. Step 3: Cross multiply
    82,752x = 124,152.48 × 47,716.80
  4. Step 4: Simplify right side
    82,752x = 5,924,159,057.66
  5. Step 5: Solve for x
    x = 5,924,159,057.66/82,752
  6. Step 6: Final answer
    x = 71,589.32

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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.