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Finding the Fourth Proportional to 81,506.76, 112,488.54 and 54,281.34

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Solution

The fourth proportional to 81,506.76, 112,488.54 and 54,281.34 is: 74,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,506.76 : 112,488.54 = 54,281.34 : x
  2. Step 2: Convert to fraction form
    81,506.76/112,488.54 = 54,281.34/x
  3. Step 3: Cross multiply
    81,506.76x = 112,488.54 × 54,281.34
  4. Step 4: Simplify right side
    81,506.76x = 6,106,028,685.84
  5. Step 5: Solve for x
    x = 6,106,028,685.84/81,506.76
  6. Step 6: Final answer
    x = 74,914.38

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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.