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Finding the Fourth Proportional to 84,298.79, 116,335.73 and 48,488.78

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Solution

The fourth proportional to 84,298.79, 116,335.73 and 48,488.78 is: 66,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,298.79 : 116,335.73 = 48,488.78 : x
  2. Step 2: Convert to fraction form
    84,298.79/116,335.73 = 48,488.78/x
  3. Step 3: Cross multiply
    84,298.79x = 116,335.73 × 48,488.78
  4. Step 4: Simplify right side
    84,298.79x = 5,640,977,618.11
  5. Step 5: Solve for x
    x = 5,640,977,618.11/84,298.79
  6. Step 6: Final answer
    x = 66,916.47

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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.