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Finding the Fourth Proportional to 32,073.42, 48,117.42 and 14,548.26

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Solution

The fourth proportional to 32,073.42, 48,117.42 and 14,548.26 is: 21,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,073.42 : 48,117.42 = 14,548.26 : x
  2. Step 2: Convert to fraction form
    32,073.42/48,117.42 = 14,548.26/x
  3. Step 3: Cross multiply
    32,073.42x = 48,117.42 × 14,548.26
  4. Step 4: Simplify right side
    32,073.42x = 700,024,736.69
  5. Step 5: Solve for x
    x = 700,024,736.69/32,073.42
  6. Step 6: Final answer
    x = 21,825.70

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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.