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Finding the Fourth Proportional to 100,014, 138,013.65 and 54,683.57

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Solution

The fourth proportional to 100,014, 138,013.65 and 54,683.57 is: 75,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,014 : 138,013.65 = 54,683.57 : x
  2. Step 2: Convert to fraction form
    100,014/138,013.65 = 54,683.57/x
  3. Step 3: Cross multiply
    100,014x = 138,013.65 × 54,683.57
  4. Step 4: Simplify right side
    100,014x = 7,547,078,400.66
  5. Step 5: Solve for x
    x = 7,547,078,400.66/100,014
  6. Step 6: Final answer
    x = 75,460.22

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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.