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Finding the Fourth Proportional to 52,951.44, 73,070.28 and 30,594

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Solution

The fourth proportional to 52,951.44, 73,070.28 and 30,594 is: 42,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,951.44 : 73,070.28 = 30,594 : x
  2. Step 2: Convert to fraction form
    52,951.44/73,070.28 = 30,594/x
  3. Step 3: Cross multiply
    52,951.44x = 73,070.28 × 30,594
  4. Step 4: Simplify right side
    52,951.44x = 2,235,512,146.32
  5. Step 5: Solve for x
    x = 2,235,512,146.32/52,951.44
  6. Step 6: Final answer
    x = 42,218.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.