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Finding the Fourth Proportional to 47,259, 65,217.42 and 26,038.26

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Solution

The fourth proportional to 47,259, 65,217.42 and 26,038.26 is: 35,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,259 : 65,217.42 = 26,038.26 : x
  2. Step 2: Convert to fraction form
    47,259/65,217.42 = 26,038.26/x
  3. Step 3: Cross multiply
    47,259x = 65,217.42 × 26,038.26
  4. Step 4: Simplify right side
    47,259x = 1,698,148,138.49
  5. Step 5: Solve for x
    x = 1,698,148,138.49/47,259
  6. Step 6: Final answer
    x = 35,932.80

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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.