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Finding the Fourth Proportional to 42,859.50, 64,330.82 and 20,688.50

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Solution

The fourth proportional to 42,859.50, 64,330.82 and 20,688.50 is: 31,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,859.50 : 64,330.82 = 20,688.50 : x
  2. Step 2: Convert to fraction form
    42,859.50/64,330.82 = 20,688.50/x
  3. Step 3: Cross multiply
    42,859.50x = 64,330.82 × 20,688.50
  4. Step 4: Simplify right side
    42,859.50x = 1,330,908,169.57
  5. Step 5: Solve for x
    x = 1,330,908,169.57/42,859.50
  6. Step 6: Final answer
    x = 31,052.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.