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Finding the Fourth Proportional to 98,999.61, 148,433.80 and 35,811.42

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Solution

The fourth proportional to 98,999.61, 148,433.80 and 35,811.42 is: 53,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,999.61 : 148,433.80 = 35,811.42 : x
  2. Step 2: Convert to fraction form
    98,999.61/148,433.80 = 35,811.42/x
  3. Step 3: Cross multiply
    98,999.61x = 148,433.80 × 35,811.42
  4. Step 4: Simplify right side
    98,999.61x = 5,315,625,154.00
  5. Step 5: Solve for x
    x = 5,315,625,154.00/98,999.61
  6. Step 6: Final answer
    x = 53,693.39

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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.