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Finding the Fourth Proportional to 48,283.68, 72,407.76 and 16,685.76

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Solution

The fourth proportional to 48,283.68, 72,407.76 and 16,685.76 is: 25,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,283.68 : 72,407.76 = 16,685.76 : x
  2. Step 2: Convert to fraction form
    48,283.68/72,407.76 = 16,685.76/x
  3. Step 3: Cross multiply
    48,283.68x = 72,407.76 × 16,685.76
  4. Step 4: Simplify right side
    48,283.68x = 1,208,178,505.50
  5. Step 5: Solve for x
    x = 1,208,178,505.50/48,283.68
  6. Step 6: Final answer
    x = 25,022.50

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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.