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Finding the Fourth Proportional to 38,666.40, 57,999.60 and 23,827.20

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Solution

The fourth proportional to 38,666.40, 57,999.60 and 23,827.20 is: 35,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666.40 : 57,999.60 = 23,827.20 : x
  2. Step 2: Convert to fraction form
    38,666.40/57,999.60 = 23,827.20/x
  3. Step 3: Cross multiply
    38,666.40x = 57,999.60 × 23,827.20
  4. Step 4: Simplify right side
    38,666.40x = 1,381,968,069.12
  5. Step 5: Solve for x
    x = 1,381,968,069.12/38,666.40
  6. Step 6: Final answer
    x = 35,740.80

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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.