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Finding the Fourth Proportional to 69,869.36, 96,419.16 and 38,038.16

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Solution

The fourth proportional to 69,869.36, 96,419.16 and 38,038.16 is: 52,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,869.36 : 96,419.16 = 38,038.16 : x
  2. Step 2: Convert to fraction form
    69,869.36/96,419.16 = 38,038.16/x
  3. Step 3: Cross multiply
    69,869.36x = 96,419.16 × 38,038.16
  4. Step 4: Simplify right side
    69,869.36x = 3,667,607,435.15
  5. Step 5: Solve for x
    x = 3,667,607,435.15/69,869.36
  6. Step 6: Final answer
    x = 52,492.36

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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.