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Finding the Fourth Proportional to 98,053.62, 146,978.03 and 48,064.50

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Solution

The fourth proportional to 98,053.62, 146,978.03 and 48,064.50 is: 72,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,053.62 : 146,978.03 = 48,064.50 : x
  2. Step 2: Convert to fraction form
    98,053.62/146,978.03 = 48,064.50/x
  3. Step 3: Cross multiply
    98,053.62x = 146,978.03 × 48,064.50
  4. Step 4: Simplify right side
    98,053.62x = 7,064,425,522.94
  5. Step 5: Solve for x
    x = 7,064,425,522.94/98,053.62
  6. Step 6: Final answer
    x = 72,046.55

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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.