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Finding the Fourth Proportional to 37,160.80, 55,743 and 14,971.20

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Solution

The fourth proportional to 37,160.80, 55,743 and 14,971.20 is: 22,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,160.80 : 55,743 = 14,971.20 : x
  2. Step 2: Convert to fraction form
    37,160.80/55,743 = 14,971.20/x
  3. Step 3: Cross multiply
    37,160.80x = 55,743 × 14,971.20
  4. Step 4: Simplify right side
    37,160.80x = 834,539,601.60
  5. Step 5: Solve for x
    x = 834,539,601.60/37,160.80
  6. Step 6: Final answer
    x = 22,457.53

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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.