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Finding the Fourth Proportional to 38,770.40, 53,509.02 and 23,671.84

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Solution

The fourth proportional to 38,770.40, 53,509.02 and 23,671.84 is: 32,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,770.40 : 53,509.02 = 23,671.84 : x
  2. Step 2: Convert to fraction form
    38,770.40/53,509.02 = 23,671.84/x
  3. Step 3: Cross multiply
    38,770.40x = 53,509.02 × 23,671.84
  4. Step 4: Simplify right side
    38,770.40x = 1,266,656,960.00
  5. Step 5: Solve for x
    x = 1,266,656,960.00/38,770.40
  6. Step 6: Final answer
    x = 32,670.72

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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.