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Finding the Fourth Proportional to 69,106.23, 103,681.22 and 24,732

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Solution

The fourth proportional to 69,106.23, 103,681.22 and 24,732 is: 37,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106.23 : 103,681.22 = 24,732 : x
  2. Step 2: Convert to fraction form
    69,106.23/103,681.22 = 24,732/x
  3. Step 3: Cross multiply
    69,106.23x = 103,681.22 × 24,732
  4. Step 4: Simplify right side
    69,106.23x = 2,564,243,933.04
  5. Step 5: Solve for x
    x = 2,564,243,933.04/69,106.23
  6. Step 6: Final answer
    x = 37,105.83

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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.