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Finding the Fourth Proportional to 93,882.40, 140,808.88 and 30,702

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Solution

The fourth proportional to 93,882.40, 140,808.88 and 30,702 is: 46,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,882.40 : 140,808.88 = 30,702 : x
  2. Step 2: Convert to fraction form
    93,882.40/140,808.88 = 30,702/x
  3. Step 3: Cross multiply
    93,882.40x = 140,808.88 × 30,702
  4. Step 4: Simplify right side
    93,882.40x = 4,323,114,233.76
  5. Step 5: Solve for x
    x = 4,323,114,233.76/93,882.40
  6. Step 6: Final answer
    x = 46,048.19

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Why These Related Problems?

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