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Finding the Fourth Proportional to 84,547.92, 126,842.94 and 25,384.68

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Solution

The fourth proportional to 84,547.92, 126,842.94 and 25,384.68 is: 38,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,547.92 : 126,842.94 = 25,384.68 : x
  2. Step 2: Convert to fraction form
    84,547.92/126,842.94 = 25,384.68/x
  3. Step 3: Cross multiply
    84,547.92x = 126,842.94 × 25,384.68
  4. Step 4: Simplify right side
    84,547.92x = 3,219,867,442.16
  5. Step 5: Solve for x
    x = 3,219,867,442.16/84,547.92
  6. Step 6: Final answer
    x = 38,083.34

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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.