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Finding the Fourth Proportional to 72,683.84, 109,041.12 and 23,432

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Solution

The fourth proportional to 72,683.84, 109,041.12 and 23,432 is: 35,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,683.84 : 109,041.12 = 23,432 : x
  2. Step 2: Convert to fraction form
    72,683.84/109,041.12 = 23,432/x
  3. Step 3: Cross multiply
    72,683.84x = 109,041.12 × 23,432
  4. Step 4: Simplify right side
    72,683.84x = 2,555,051,523.84
  5. Step 5: Solve for x
    x = 2,555,051,523.84/72,683.84
  6. Step 6: Final answer
    x = 35,152.95

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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.