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Finding the Fourth Proportional to 91,384.24, 137,041.80 and 35,950

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Solution

The fourth proportional to 91,384.24, 137,041.80 and 35,950 is: 53,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,384.24 : 137,041.80 = 35,950 : x
  2. Step 2: Convert to fraction form
    91,384.24/137,041.80 = 35,950/x
  3. Step 3: Cross multiply
    91,384.24x = 137,041.80 × 35,950
  4. Step 4: Simplify right side
    91,384.24x = 4,926,652,710
  5. Step 5: Solve for x
    x = 4,926,652,710/91,384.24
  6. Step 6: Final answer
    x = 53,911.40

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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.