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Finding the Fourth Proportional to 30,737.40, 42,417.19 and 17,308.82

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Solution

The fourth proportional to 30,737.40, 42,417.19 and 17,308.82 is: 23,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,737.40 : 42,417.19 = 17,308.82 : x
  2. Step 2: Convert to fraction form
    30,737.40/42,417.19 = 17,308.82/x
  3. Step 3: Cross multiply
    30,737.40x = 42,417.19 × 17,308.82
  4. Step 4: Simplify right side
    30,737.40x = 734,191,337.80
  5. Step 5: Solve for x
    x = 734,191,337.80/30,737.40
  6. Step 6: Final answer
    x = 23,885.93

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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.