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Finding the Fourth Proportional to 34,159, 51,247.16 and 9,535

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Solution

The fourth proportional to 34,159, 51,247.16 and 9,535 is: 14,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,159 : 51,247.16 = 9,535 : x
  2. Step 2: Convert to fraction form
    34,159/51,247.16 = 9,535/x
  3. Step 3: Cross multiply
    34,159x = 51,247.16 × 9,535
  4. Step 4: Simplify right side
    34,159x = 488,641,670.60
  5. Step 5: Solve for x
    x = 488,641,670.60/34,159
  6. Step 6: Final answer
    x = 14,304.92

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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.