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Finding the Fourth Proportional to 98,470.84, 147,709.30 and 38,496.92

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Solution

The fourth proportional to 98,470.84, 147,709.30 and 38,496.92 is: 57,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,470.84 : 147,709.30 = 38,496.92 : x
  2. Step 2: Convert to fraction form
    98,470.84/147,709.30 = 38,496.92/x
  3. Step 3: Cross multiply
    98,470.84x = 147,709.30 × 38,496.92
  4. Step 4: Simplify right side
    98,470.84x = 5,686,353,105.36
  5. Step 5: Solve for x
    x = 5,686,353,105.36/98,470.84
  6. Step 6: Final answer
    x = 57,746.57

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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.