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Finding the Fourth Proportional to 40,410, 55,765.80 and 23,646.24

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Solution

The fourth proportional to 40,410, 55,765.80 and 23,646.24 is: 32,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,410 : 55,765.80 = 23,646.24 : x
  2. Step 2: Convert to fraction form
    40,410/55,765.80 = 23,646.24/x
  3. Step 3: Cross multiply
    40,410x = 55,765.80 × 23,646.24
  4. Step 4: Simplify right side
    40,410x = 1,318,651,490.59
  5. Step 5: Solve for x
    x = 1,318,651,490.59/40,410
  6. Step 6: Final answer
    x = 32,631.81

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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.