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Finding the Fourth Proportional to 71,597.81, 107,369.71 and 57,523.25

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Solution

The fourth proportional to 71,597.81, 107,369.71 and 57,523.25 is: 86,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,597.81 : 107,369.71 = 57,523.25 : x
  2. Step 2: Convert to fraction form
    71,597.81/107,369.71 = 57,523.25/x
  3. Step 3: Cross multiply
    71,597.81x = 107,369.71 × 57,523.25
  4. Step 4: Simplify right side
    71,597.81x = 6,176,254,795.37
  5. Step 5: Solve for x
    x = 6,176,254,795.37/71,597.81
  6. Step 6: Final answer
    x = 86,263.18

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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.