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Finding the Fourth Proportional to 30,862.95, 42,591.75 and 17,434.77

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Solution

The fourth proportional to 30,862.95, 42,591.75 and 17,434.77 is: 24,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.95 : 42,591.75 = 17,434.77 : x
  2. Step 2: Convert to fraction form
    30,862.95/42,591.75 = 17,434.77/x
  3. Step 3: Cross multiply
    30,862.95x = 42,591.75 × 17,434.77
  4. Step 4: Simplify right side
    30,862.95x = 742,577,140.05
  5. Step 5: Solve for x
    x = 742,577,140.05/30,862.95
  6. Step 6: Final answer
    x = 24,060.47

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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.