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Finding the Fourth Proportional to 92,719.12, 139,017.24 and 33,547

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Solution

The fourth proportional to 92,719.12, 139,017.24 and 33,547 is: 50,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,719.12 : 139,017.24 = 33,547 : x
  2. Step 2: Convert to fraction form
    92,719.12/139,017.24 = 33,547/x
  3. Step 3: Cross multiply
    92,719.12x = 139,017.24 × 33,547
  4. Step 4: Simplify right side
    92,719.12x = 4,663,611,350.28
  5. Step 5: Solve for x
    x = 4,663,611,350.28/92,719.12
  6. Step 6: Final answer
    x = 50,298.27

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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.