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Finding the Fourth Proportional to 99,547.80, 149,321.70 and 25,675.80

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Solution

The fourth proportional to 99,547.80, 149,321.70 and 25,675.80 is: 38,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,547.80 : 149,321.70 = 25,675.80 : x
  2. Step 2: Convert to fraction form
    99,547.80/149,321.70 = 25,675.80/x
  3. Step 3: Cross multiply
    99,547.80x = 149,321.70 × 25,675.80
  4. Step 4: Simplify right side
    99,547.80x = 3,833,954,104.86
  5. Step 5: Solve for x
    x = 3,833,954,104.86/99,547.80
  6. Step 6: Final answer
    x = 38,513.70

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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.