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Finding the Fourth Proportional to 98,510.47, 147,738.78 and 35,318.85

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Solution

The fourth proportional to 98,510.47, 147,738.78 and 35,318.85 is: 52,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,510.47 : 147,738.78 = 35,318.85 : x
  2. Step 2: Convert to fraction form
    98,510.47/147,738.78 = 35,318.85/x
  3. Step 3: Cross multiply
    98,510.47x = 147,738.78 × 35,318.85
  4. Step 4: Simplify right side
    98,510.47x = 5,217,963,810.00
  5. Step 5: Solve for x
    x = 5,217,963,810.00/98,510.47
  6. Step 6: Final answer
    x = 52,968.62

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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.