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Finding the Fourth Proportional to 40,696, 56,157.40 and 24,778.68

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Solution

The fourth proportional to 40,696, 56,157.40 and 24,778.68 is: 34,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,696 : 56,157.40 = 24,778.68 : x
  2. Step 2: Convert to fraction form
    40,696/56,157.40 = 24,778.68/x
  3. Step 3: Cross multiply
    40,696x = 56,157.40 × 24,778.68
  4. Step 4: Simplify right side
    40,696x = 1,391,506,244.23
  5. Step 5: Solve for x
    x = 1,391,506,244.23/40,696
  6. Step 6: Final answer
    x = 34,192.70

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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.