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Finding the Fourth Proportional to 98,538.53, 147,802.32 and 45,984.92

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Solution

The fourth proportional to 98,538.53, 147,802.32 and 45,984.92 is: 68,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,538.53 : 147,802.32 = 45,984.92 : x
  2. Step 2: Convert to fraction form
    98,538.53/147,802.32 = 45,984.92/x
  3. Step 3: Cross multiply
    98,538.53x = 147,802.32 × 45,984.92
  4. Step 4: Simplify right side
    98,538.53x = 6,796,677,122.00
  5. Step 5: Solve for x
    x = 6,796,677,122.00/98,538.53
  6. Step 6: Final answer
    x = 68,974.82

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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.