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Finding the Fourth Proportional to 98,653.92, 147,915.84 and 35,442.36

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Solution

The fourth proportional to 98,653.92, 147,915.84 and 35,442.36 is: 53,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,653.92 : 147,915.84 = 35,442.36 : x
  2. Step 2: Convert to fraction form
    98,653.92/147,915.84 = 35,442.36/x
  3. Step 3: Cross multiply
    98,653.92x = 147,915.84 × 35,442.36
  4. Step 4: Simplify right side
    98,653.92x = 5,242,486,450.98
  5. Step 5: Solve for x
    x = 5,242,486,450.98/98,653.92
  6. Step 6: Final answer
    x = 53,140.17

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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.