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Finding the Fourth Proportional to 100,012.08, 138,029.64 and 57,007.02

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Solution

The fourth proportional to 100,012.08, 138,029.64 and 57,007.02 is: 78,677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,012.08 : 138,029.64 = 57,007.02 : x
  2. Step 2: Convert to fraction form
    100,012.08/138,029.64 = 57,007.02/x
  3. Step 3: Cross multiply
    100,012.08x = 138,029.64 × 57,007.02
  4. Step 4: Simplify right side
    100,012.08x = 7,868,658,448.07
  5. Step 5: Solve for x
    x = 7,868,658,448.07/100,012.08
  6. Step 6: Final answer
    x = 78,677.08

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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.