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Finding the Fourth Proportional to 65,209.90, 97,814.85 and 23,641.90

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Solution

The fourth proportional to 65,209.90, 97,814.85 and 23,641.90 is: 35,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.90 : 97,814.85 = 23,641.90 : x
  2. Step 2: Convert to fraction form
    65,209.90/97,814.85 = 23,641.90/x
  3. Step 3: Cross multiply
    65,209.90x = 97,814.85 × 23,641.90
  4. Step 4: Simplify right side
    65,209.90x = 2,312,528,902.22
  5. Step 5: Solve for x
    x = 2,312,528,902.22/65,209.90
  6. Step 6: Final answer
    x = 35,462.85

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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.