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Finding the Fourth Proportional to 35,558.06, 49,068.50 and 19,642.14

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Solution

The fourth proportional to 35,558.06, 49,068.50 and 19,642.14 is: 27,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,558.06 : 49,068.50 = 19,642.14 : x
  2. Step 2: Convert to fraction form
    35,558.06/49,068.50 = 19,642.14/x
  3. Step 3: Cross multiply
    35,558.06x = 49,068.50 × 19,642.14
  4. Step 4: Simplify right side
    35,558.06x = 963,810,248.38
  5. Step 5: Solve for x
    x = 963,810,248.38/35,558.06
  6. Step 6: Final answer
    x = 27,105.26

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Why These Related Problems?

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