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Finding the Fourth Proportional to 68,501.60, 102,752.40 and 24,178.40

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Solution

The fourth proportional to 68,501.60, 102,752.40 and 24,178.40 is: 36,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,501.60 : 102,752.40 = 24,178.40 : x
  2. Step 2: Convert to fraction form
    68,501.60/102,752.40 = 24,178.40/x
  3. Step 3: Cross multiply
    68,501.60x = 102,752.40 × 24,178.40
  4. Step 4: Simplify right side
    68,501.60x = 2,484,388,628.16
  5. Step 5: Solve for x
    x = 2,484,388,628.16/68,501.60
  6. Step 6: Final answer
    x = 36,267.60

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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.