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Finding the Fourth Proportional to 82,823.30, 114,267.01 and 54,159.74

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Solution

The fourth proportional to 82,823.30, 114,267.01 and 54,159.74 is: 74,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,823.30 : 114,267.01 = 54,159.74 : x
  2. Step 2: Convert to fraction form
    82,823.30/114,267.01 = 54,159.74/x
  3. Step 3: Cross multiply
    82,823.30x = 114,267.01 × 54,159.74
  4. Step 4: Simplify right side
    82,823.30x = 6,188,671,552.18
  5. Step 5: Solve for x
    x = 6,188,671,552.18/82,823.30
  6. Step 6: Final answer
    x = 74,721.38

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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.