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Finding the Fourth Proportional to 51,805.76, 77,708.63 and 34,271.48

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Solution

The fourth proportional to 51,805.76, 77,708.63 and 34,271.48 is: 51,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805.76 : 77,708.63 = 34,271.48 : x
  2. Step 2: Convert to fraction form
    51,805.76/77,708.63 = 34,271.48/x
  3. Step 3: Cross multiply
    51,805.76x = 77,708.63 × 34,271.48
  4. Step 4: Simplify right side
    51,805.76x = 2,663,190,038.82
  5. Step 5: Solve for x
    x = 2,663,190,038.82/51,805.76
  6. Step 6: Final answer
    x = 51,407.22

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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.