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Finding the Fourth Proportional to 115,971, 173,985.66 and 32,865

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Solution

The fourth proportional to 115,971, 173,985.66 and 32,865 is: 49,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,971 : 173,985.66 = 32,865 : x
  2. Step 2: Convert to fraction form
    115,971/173,985.66 = 32,865/x
  3. Step 3: Cross multiply
    115,971x = 173,985.66 × 32,865
  4. Step 4: Simplify right side
    115,971x = 5,718,038,715.90
  5. Step 5: Solve for x
    x = 5,718,038,715.90/115,971
  6. Step 6: Final answer
    x = 49,305.76

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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.