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Finding the Fourth Proportional to 30,140.52, 45,203.22 and 14,335.80

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Solution

The fourth proportional to 30,140.52, 45,203.22 and 14,335.80 is: 21,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140.52 : 45,203.22 = 14,335.80 : x
  2. Step 2: Convert to fraction form
    30,140.52/45,203.22 = 14,335.80/x
  3. Step 3: Cross multiply
    30,140.52x = 45,203.22 × 14,335.80
  4. Step 4: Simplify right side
    30,140.52x = 648,024,321.28
  5. Step 5: Solve for x
    x = 648,024,321.28/30,140.52
  6. Step 6: Final answer
    x = 21,500.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.