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Finding the Fourth Proportional to 65,009.40, 97,298.10 and 47,189.40

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Solution

The fourth proportional to 65,009.40, 97,298.10 and 47,189.40 is: 70,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.40 : 97,298.10 = 47,189.40 : x
  2. Step 2: Convert to fraction form
    65,009.40/97,298.10 = 47,189.40/x
  3. Step 3: Cross multiply
    65,009.40x = 97,298.10 × 47,189.40
  4. Step 4: Simplify right side
    65,009.40x = 4,591,438,960.14
  5. Step 5: Solve for x
    x = 4,591,438,960.14/65,009.40
  6. Step 6: Final answer
    x = 70,627.31

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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.