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Finding the Fourth Proportional to 98,051.38, 147,057.71 and 26,955.68

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Solution

The fourth proportional to 98,051.38, 147,057.71 and 26,955.68 is: 40,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,051.38 : 147,057.71 = 26,955.68 : x
  2. Step 2: Convert to fraction form
    98,051.38/147,057.71 = 26,955.68/x
  3. Step 3: Cross multiply
    98,051.38x = 147,057.71 × 26,955.68
  4. Step 4: Simplify right side
    98,051.38x = 3,964,039,837.00
  5. Step 5: Solve for x
    x = 3,964,039,837.00/98,051.38
  6. Step 6: Final answer
    x = 40,428.19

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Why These Related Problems?

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