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Finding the Fourth Proportional to 30,862.93, 42,590.65 and 17,438.53

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Solution

The fourth proportional to 30,862.93, 42,590.65 and 17,438.53 is: 24,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.93 : 42,590.65 = 17,438.53 : x
  2. Step 2: Convert to fraction form
    30,862.93/42,590.65 = 17,438.53/x
  3. Step 3: Cross multiply
    30,862.93x = 42,590.65 × 17,438.53
  4. Step 4: Simplify right side
    30,862.93x = 742,718,240.55
  5. Step 5: Solve for x
    x = 742,718,240.55/30,862.93
  6. Step 6: Final answer
    x = 24,065.06

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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.