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Finding the Fourth Proportional to 65,084.40, 97,410.60 and 47,264.40

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Solution

The fourth proportional to 65,084.40, 97,410.60 and 47,264.40 is: 70,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,084.40 : 97,410.60 = 47,264.40 : x
  2. Step 2: Convert to fraction form
    65,084.40/97,410.60 = 47,264.40/x
  3. Step 3: Cross multiply
    65,084.40x = 97,410.60 × 47,264.40
  4. Step 4: Simplify right side
    65,084.40x = 4,604,053,562.64
  5. Step 5: Solve for x
    x = 4,604,053,562.64/65,084.40
  6. Step 6: Final answer
    x = 70,739.74

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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.