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Finding the Fourth Proportional to 31,966.62, 44,114.03 and 17,430.69

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Solution

The fourth proportional to 31,966.62, 44,114.03 and 17,430.69 is: 24,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,966.62 : 44,114.03 = 17,430.69 : x
  2. Step 2: Convert to fraction form
    31,966.62/44,114.03 = 17,430.69/x
  3. Step 3: Cross multiply
    31,966.62x = 44,114.03 × 17,430.69
  4. Step 4: Simplify right side
    31,966.62x = 768,938,223.27
  5. Step 5: Solve for x
    x = 768,938,223.27/31,966.62
  6. Step 6: Final answer
    x = 24,054.41

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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.