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Finding the Fourth Proportional to 42,368.46, 63,594 and 20,197.14

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Solution

The fourth proportional to 42,368.46, 63,594 and 20,197.14 is: 30,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,368.46 : 63,594 = 20,197.14 : x
  2. Step 2: Convert to fraction form
    42,368.46/63,594 = 20,197.14/x
  3. Step 3: Cross multiply
    42,368.46x = 63,594 × 20,197.14
  4. Step 4: Simplify right side
    42,368.46x = 1,284,416,921.16
  5. Step 5: Solve for x
    x = 1,284,416,921.16/42,368.46
  6. Step 6: Final answer
    x = 30,315.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.