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Finding the Fourth Proportional to 54,499.10, 75,209.64 and 29,970.95

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Solution

The fourth proportional to 54,499.10, 75,209.64 and 29,970.95 is: 41,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,499.10 : 75,209.64 = 29,970.95 : x
  2. Step 2: Convert to fraction form
    54,499.10/75,209.64 = 29,970.95/x
  3. Step 3: Cross multiply
    54,499.10x = 75,209.64 × 29,970.95
  4. Step 4: Simplify right side
    54,499.10x = 2,254,103,871.52
  5. Step 5: Solve for x
    x = 2,254,103,871.52/54,499.10
  6. Step 6: Final answer
    x = 41,360.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.