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Finding the Fourth Proportional to 47,253, 65,209.14 and 26,032.26

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Solution

The fourth proportional to 47,253, 65,209.14 and 26,032.26 is: 35,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,253 : 65,209.14 = 26,032.26 : x
  2. Step 2: Convert to fraction form
    47,253/65,209.14 = 26,032.26/x
  3. Step 3: Cross multiply
    47,253x = 65,209.14 × 26,032.26
  4. Step 4: Simplify right side
    47,253x = 1,697,541,286.86
  5. Step 5: Solve for x
    x = 1,697,541,286.86/47,253
  6. Step 6: Final answer
    x = 35,924.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.