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Finding the Fourth Proportional to 54,692.40, 75,482.64 and 30,823.68

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Solution

The fourth proportional to 54,692.40, 75,482.64 and 30,823.68 is: 42,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692.40 : 75,482.64 = 30,823.68 : x
  2. Step 2: Convert to fraction form
    54,692.40/75,482.64 = 30,823.68/x
  3. Step 3: Cross multiply
    54,692.40x = 75,482.64 × 30,823.68
  4. Step 4: Simplify right side
    54,692.40x = 2,326,652,740.92
  5. Step 5: Solve for x
    x = 2,326,652,740.92/54,692.40
  6. Step 6: Final answer
    x = 42,540.70

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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.