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Finding the Fourth Proportional to 98,884.98, 148,381.48 and 41,950.10

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Solution

The fourth proportional to 98,884.98, 148,381.48 and 41,950.10 is: 62,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,884.98 : 148,381.48 = 41,950.10 : x
  2. Step 2: Convert to fraction form
    98,884.98/148,381.48 = 41,950.10/x
  3. Step 3: Cross multiply
    98,884.98x = 148,381.48 × 41,950.10
  4. Step 4: Simplify right side
    98,884.98x = 6,224,617,924.15
  5. Step 5: Solve for x
    x = 6,224,617,924.15/98,884.98
  6. Step 6: Final answer
    x = 62,948.06

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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.