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Finding the Fourth Proportional to 84,698.46, 116,868.42 and 48,875.40

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Solution

The fourth proportional to 84,698.46, 116,868.42 and 48,875.40 is: 67,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,698.46 : 116,868.42 = 48,875.40 : x
  2. Step 2: Convert to fraction form
    84,698.46/116,868.42 = 48,875.40/x
  3. Step 3: Cross multiply
    84,698.46x = 116,868.42 × 48,875.40
  4. Step 4: Simplify right side
    84,698.46x = 5,711,990,774.87
  5. Step 5: Solve for x
    x = 5,711,990,774.87/84,698.46
  6. Step 6: Final answer
    x = 67,439.13

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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.