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Finding the Fourth Proportional to 67,038.32, 92,496.28 and 37,967.16

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Solution

The fourth proportional to 67,038.32, 92,496.28 and 37,967.16 is: 52,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,038.32 : 92,496.28 = 37,967.16 : x
  2. Step 2: Convert to fraction form
    67,038.32/92,496.28 = 37,967.16/x
  3. Step 3: Cross multiply
    67,038.32x = 92,496.28 × 37,967.16
  4. Step 4: Simplify right side
    67,038.32x = 3,511,821,062.16
  5. Step 5: Solve for x
    x = 3,511,821,062.16/67,038.32
  6. Step 6: Final answer
    x = 52,385.28

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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.