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Finding the Fourth Proportional to 65,203.36, 97,854.30 and 47,718.30

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Solution

The fourth proportional to 65,203.36, 97,854.30 and 47,718.30 is: 71,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.36 : 97,854.30 = 47,718.30 : x
  2. Step 2: Convert to fraction form
    65,203.36/97,854.30 = 47,718.30/x
  3. Step 3: Cross multiply
    65,203.36x = 97,854.30 × 47,718.30
  4. Step 4: Simplify right side
    65,203.36x = 4,669,440,843.69
  5. Step 5: Solve for x
    x = 4,669,440,843.69/65,203.36
  6. Step 6: Final answer
    x = 71,613.50

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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.