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Finding the Fourth Proportional to 30,947.59, 42,707.69 and 16,800.40

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Solution

The fourth proportional to 30,947.59, 42,707.69 and 16,800.40 is: 23,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.59 : 42,707.69 = 16,800.40 : x
  2. Step 2: Convert to fraction form
    30,947.59/42,707.69 = 16,800.40/x
  3. Step 3: Cross multiply
    30,947.59x = 42,707.69 × 16,800.40
  4. Step 4: Simplify right side
    30,947.59x = 717,506,275.08
  5. Step 5: Solve for x
    x = 717,506,275.08/30,947.59
  6. Step 6: Final answer
    x = 23,184.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.