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Finding the Fourth Proportional to 30,746, 42,429.48 and 17,498

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Solution

The fourth proportional to 30,746, 42,429.48 and 17,498 is: 24,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746 : 42,429.48 = 17,498 : x
  2. Step 2: Convert to fraction form
    30,746/42,429.48 = 17,498/x
  3. Step 3: Cross multiply
    30,746x = 42,429.48 × 17,498
  4. Step 4: Simplify right side
    30,746x = 742,431,041.04
  5. Step 5: Solve for x
    x = 742,431,041.04/30,746
  6. Step 6: Final answer
    x = 24,147.24

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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.