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Finding the Fourth Proportional to 30,454.14, 45,681.22 and 16,420.78

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Solution

The fourth proportional to 30,454.14, 45,681.22 and 16,420.78 is: 24,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454.14 : 45,681.22 = 16,420.78 : x
  2. Step 2: Convert to fraction form
    30,454.14/45,681.22 = 16,420.78/x
  3. Step 3: Cross multiply
    30,454.14x = 45,681.22 × 16,420.78
  4. Step 4: Simplify right side
    30,454.14x = 750,121,130.61
  5. Step 5: Solve for x
    x = 750,121,130.61/30,454.14
  6. Step 6: Final answer
    x = 24,631.17

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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.