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Finding the Fourth Proportional to 75,646.40, 113,316.72 and 38,154.32

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Solution

The fourth proportional to 75,646.40, 113,316.72 and 38,154.32 is: 57,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,646.40 : 113,316.72 = 38,154.32 : x
  2. Step 2: Convert to fraction form
    75,646.40/113,316.72 = 38,154.32/x
  3. Step 3: Cross multiply
    75,646.40x = 113,316.72 × 38,154.32
  4. Step 4: Simplify right side
    75,646.40x = 4,323,522,396.23
  5. Step 5: Solve for x
    x = 4,323,522,396.23/75,646.40
  6. Step 6: Final answer
    x = 57,154.37

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