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Finding the Fourth Proportional to 34,259.42, 47,224.42 and 31,510.08

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Solution

The fourth proportional to 34,259.42, 47,224.42 and 31,510.08 is: 43,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,259.42 : 47,224.42 = 31,510.08 : x
  2. Step 2: Convert to fraction form
    34,259.42/47,224.42 = 31,510.08/x
  3. Step 3: Cross multiply
    34,259.42x = 47,224.42 × 31,510.08
  4. Step 4: Simplify right side
    34,259.42x = 1,488,045,173.38
  5. Step 5: Solve for x
    x = 1,488,045,173.38/34,259.42
  6. Step 6: Final answer
    x = 43,434.63

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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.