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Finding the Fourth Proportional to 30,467.52, 42,061.60 and 21,406.40

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Solution

The fourth proportional to 30,467.52, 42,061.60 and 21,406.40 is: 29,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,467.52 : 42,061.60 = 21,406.40 : x
  2. Step 2: Convert to fraction form
    30,467.52/42,061.60 = 21,406.40/x
  3. Step 3: Cross multiply
    30,467.52x = 42,061.60 × 21,406.40
  4. Step 4: Simplify right side
    30,467.52x = 900,387,434.24
  5. Step 5: Solve for x
    x = 900,387,434.24/30,467.52
  6. Step 6: Final answer
    x = 29,552.37

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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.