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Finding the Fourth Proportional to 82,852.78, 114,338.04 and 45,127

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Solution

The fourth proportional to 82,852.78, 114,338.04 and 45,127 is: 62,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,852.78 : 114,338.04 = 45,127 : x
  2. Step 2: Convert to fraction form
    82,852.78/114,338.04 = 45,127/x
  3. Step 3: Cross multiply
    82,852.78x = 114,338.04 × 45,127
  4. Step 4: Simplify right side
    82,852.78x = 5,159,732,731.08
  5. Step 5: Solve for x
    x = 5,159,732,731.08/82,852.78
  6. Step 6: Final answer
    x = 62,275.92

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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.