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Finding the Fourth Proportional to 64,146, 88,521.24 and 35,851.68

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Solution

The fourth proportional to 64,146, 88,521.24 and 35,851.68 is: 49,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,146 : 88,521.24 = 35,851.68 : x
  2. Step 2: Convert to fraction form
    64,146/88,521.24 = 35,851.68/x
  3. Step 3: Cross multiply
    64,146x = 88,521.24 × 35,851.68
  4. Step 4: Simplify right side
    64,146x = 3,173,635,169.68
  5. Step 5: Solve for x
    x = 3,173,635,169.68/64,146
  6. Step 6: Final answer
    x = 49,475.18

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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.