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Finding the Fourth Proportional to 35,535.05, 49,036.61 and 20,417

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Solution

The fourth proportional to 35,535.05, 49,036.61 and 20,417 is: 28,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,535.05 : 49,036.61 = 20,417 : x
  2. Step 2: Convert to fraction form
    35,535.05/49,036.61 = 20,417/x
  3. Step 3: Cross multiply
    35,535.05x = 49,036.61 × 20,417
  4. Step 4: Simplify right side
    35,535.05x = 1,001,180,364.29
  5. Step 5: Solve for x
    x = 1,001,180,364.29/35,535.05
  6. Step 6: Final answer
    x = 28,174.45

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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.