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Finding the Fourth Proportional to 38,792.82, 58,206.51 and 20,320.50

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Solution

The fourth proportional to 38,792.82, 58,206.51 and 20,320.50 is: 30,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,792.82 : 58,206.51 = 20,320.50 : x
  2. Step 2: Convert to fraction form
    38,792.82/58,206.51 = 20,320.50/x
  3. Step 3: Cross multiply
    38,792.82x = 58,206.51 × 20,320.50
  4. Step 4: Simplify right side
    38,792.82x = 1,182,785,386.46
  5. Step 5: Solve for x
    x = 1,182,785,386.46/38,792.82
  6. Step 6: Final answer
    x = 30,489.80

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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.