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Finding the Fourth Proportional to 82,772.60, 114,225.14 and 48,782.54

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Solution

The fourth proportional to 82,772.60, 114,225.14 and 48,782.54 is: 67,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,772.60 : 114,225.14 = 48,782.54 : x
  2. Step 2: Convert to fraction form
    82,772.60/114,225.14 = 48,782.54/x
  3. Step 3: Cross multiply
    82,772.60x = 114,225.14 × 48,782.54
  4. Step 4: Simplify right side
    82,772.60x = 5,572,191,646.02
  5. Step 5: Solve for x
    x = 5,572,191,646.02/82,772.60
  6. Step 6: Final answer
    x = 67,319.28

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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.