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Finding the Fourth Proportional to 98,782.16, 148,174.05 and 35,646.98

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Solution

The fourth proportional to 98,782.16, 148,174.05 and 35,646.98 is: 53,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,782.16 : 148,174.05 = 35,646.98 : x
  2. Step 2: Convert to fraction form
    98,782.16/148,174.05 = 35,646.98/x
  3. Step 3: Cross multiply
    98,782.16x = 148,174.05 × 35,646.98
  4. Step 4: Simplify right side
    98,782.16x = 5,281,957,396.87
  5. Step 5: Solve for x
    x = 5,281,957,396.87/98,782.16
  6. Step 6: Final answer
    x = 53,470.76

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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.