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Finding the Fourth Proportional to 65,218.20, 97,827.30 and 64,829.40

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Solution

The fourth proportional to 65,218.20, 97,827.30 and 64,829.40 is: 97,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.20 : 97,827.30 = 64,829.40 : x
  2. Step 2: Convert to fraction form
    65,218.20/97,827.30 = 64,829.40/x
  3. Step 3: Cross multiply
    65,218.20x = 97,827.30 × 64,829.40
  4. Step 4: Simplify right side
    65,218.20x = 6,342,085,162.62
  5. Step 5: Solve for x
    x = 6,342,085,162.62/65,218.20
  6. Step 6: Final answer
    x = 97,244.10

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1.5x scale

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.