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Finding the Fourth Proportional to 64,290.71, 96,498.24 and 31,034.14

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Solution

The fourth proportional to 64,290.71, 96,498.24 and 31,034.14 is: 46,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,290.71 : 96,498.24 = 31,034.14 : x
  2. Step 2: Convert to fraction form
    64,290.71/96,498.24 = 31,034.14/x
  3. Step 3: Cross multiply
    64,290.71x = 96,498.24 × 31,034.14
  4. Step 4: Simplify right side
    64,290.71x = 2,994,739,532.29
  5. Step 5: Solve for x
    x = 2,994,739,532.29/64,290.71
  6. Step 6: Final answer
    x = 46,581.22

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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.