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Finding the Fourth Proportional to 69,307.86, 103,969.92 and 24,315.46

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Solution

The fourth proportional to 69,307.86, 103,969.92 and 24,315.46 is: 36,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,307.86 : 103,969.92 = 24,315.46 : x
  2. Step 2: Convert to fraction form
    69,307.86/103,969.92 = 24,315.46/x
  3. Step 3: Cross multiply
    69,307.86x = 103,969.92 × 24,315.46
  4. Step 4: Simplify right side
    69,307.86x = 2,528,076,430.96
  5. Step 5: Solve for x
    x = 2,528,076,430.96/69,307.86
  6. Step 6: Final answer
    x = 36,476.04

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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.