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Finding the Fourth Proportional to 98,017.89, 147,009.21 and 25,971.30

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Solution

The fourth proportional to 98,017.89, 147,009.21 and 25,971.30 is: 38,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,017.89 : 147,009.21 = 25,971.30 : x
  2. Step 2: Convert to fraction form
    98,017.89/147,009.21 = 25,971.30/x
  3. Step 3: Cross multiply
    98,017.89x = 147,009.21 × 25,971.30
  4. Step 4: Simplify right side
    98,017.89x = 3,818,020,295.67
  5. Step 5: Solve for x
    x = 3,818,020,295.67/98,017.89
  6. Step 6: Final answer
    x = 38,952.28

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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.