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Finding the Fourth Proportional to 35,931.84, 49,588.56 and 20,828.40

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Solution

The fourth proportional to 35,931.84, 49,588.56 and 20,828.40 is: 28,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,931.84 : 49,588.56 = 20,828.40 : x
  2. Step 2: Convert to fraction form
    35,931.84/49,588.56 = 20,828.40/x
  3. Step 3: Cross multiply
    35,931.84x = 49,588.56 × 20,828.40
  4. Step 4: Simplify right side
    35,931.84x = 1,032,850,363.10
  5. Step 5: Solve for x
    x = 1,032,850,363.10/35,931.84
  6. Step 6: Final answer
    x = 28,744.71

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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.