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Finding the Fourth Proportional to 34,159.64, 51,235.61 and 9,201.52

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Solution

The fourth proportional to 34,159.64, 51,235.61 and 9,201.52 is: 13,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,159.64 : 51,235.61 = 9,201.52 : x
  2. Step 2: Convert to fraction form
    34,159.64/51,235.61 = 9,201.52/x
  3. Step 3: Cross multiply
    34,159.64x = 51,235.61 × 9,201.52
  4. Step 4: Simplify right side
    34,159.64x = 471,445,490.13
  5. Step 5: Solve for x
    x = 471,445,490.13/34,159.64
  6. Step 6: Final answer
    x = 13,801.24

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Why These Related Problems?

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