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Finding the Fourth Proportional to 30,756.90, 42,444.61 and 17,838.68

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Solution

The fourth proportional to 30,756.90, 42,444.61 and 17,838.68 is: 24,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756.90 : 42,444.61 = 17,838.68 : x
  2. Step 2: Convert to fraction form
    30,756.90/42,444.61 = 17,838.68/x
  3. Step 3: Cross multiply
    30,756.90x = 42,444.61 × 17,838.68
  4. Step 4: Simplify right side
    30,756.90x = 757,155,603.29
  5. Step 5: Solve for x
    x = 757,155,603.29/30,756.90
  6. Step 6: Final answer
    x = 24,617.43

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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.