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Finding the Fourth Proportional to 37,478.40, 56,233.80 and 17,746.80

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Solution

The fourth proportional to 37,478.40, 56,233.80 and 17,746.80 is: 26,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,478.40 : 56,233.80 = 17,746.80 : x
  2. Step 2: Convert to fraction form
    37,478.40/56,233.80 = 17,746.80/x
  3. Step 3: Cross multiply
    37,478.40x = 56,233.80 × 17,746.80
  4. Step 4: Simplify right side
    37,478.40x = 997,970,001.84
  5. Step 5: Solve for x
    x = 997,970,001.84/37,478.40
  6. Step 6: Final answer
    x = 26,627.87

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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.