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Finding the Fourth Proportional to 65,209.40, 97,814.10 and 23,641.40

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Solution

The fourth proportional to 65,209.40, 97,814.10 and 23,641.40 is: 35,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.40 : 97,814.10 = 23,641.40 : x
  2. Step 2: Convert to fraction form
    65,209.40/97,814.10 = 23,641.40/x
  3. Step 3: Cross multiply
    65,209.40x = 97,814.10 × 23,641.40
  4. Step 4: Simplify right side
    65,209.40x = 2,312,462,263.74
  5. Step 5: Solve for x
    x = 2,312,462,263.74/65,209.40
  6. Step 6: Final answer
    x = 35,462.10

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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.