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Finding the Fourth Proportional to 98,562.10, 147,806.70 and 32,004.40

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Solution

The fourth proportional to 98,562.10, 147,806.70 and 32,004.40 is: 47,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,562.10 : 147,806.70 = 32,004.40 : x
  2. Step 2: Convert to fraction form
    98,562.10/147,806.70 = 32,004.40/x
  3. Step 3: Cross multiply
    98,562.10x = 147,806.70 × 32,004.40
  4. Step 4: Simplify right side
    98,562.10x = 4,730,464,749.48
  5. Step 5: Solve for x
    x = 4,730,464,749.48/98,562.10
  6. Step 6: Final answer
    x = 47,994.76

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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.