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Finding the Fourth Proportional to 107,302.98, 160,952.83 and 36,275.51

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Solution

The fourth proportional to 107,302.98, 160,952.83 and 36,275.51 is: 54,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,302.98 : 160,952.83 = 36,275.51 : x
  2. Step 2: Convert to fraction form
    107,302.98/160,952.83 = 36,275.51/x
  3. Step 3: Cross multiply
    107,302.98x = 160,952.83 × 36,275.51
  4. Step 4: Simplify right side
    107,302.98x = 5,838,645,994.19
  5. Step 5: Solve for x
    x = 5,838,645,994.19/107,302.98
  6. Step 6: Final answer
    x = 54,412.71

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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.