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Finding the Fourth Proportional to 102,448, 153,741.39 and 35,888.68

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Solution

The fourth proportional to 102,448, 153,741.39 and 35,888.68 is: 53,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,448 : 153,741.39 = 35,888.68 : x
  2. Step 2: Convert to fraction form
    102,448/153,741.39 = 35,888.68/x
  3. Step 3: Cross multiply
    102,448x = 153,741.39 × 35,888.68
  4. Step 4: Simplify right side
    102,448x = 5,517,575,548.47
  5. Step 5: Solve for x
    x = 5,517,575,548.47/102,448
  6. Step 6: Final answer
    x = 53,857.33

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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.