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Finding the Fourth Proportional to 55,356.84, 83,035.54 and 13,803.84

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Solution

The fourth proportional to 55,356.84, 83,035.54 and 13,803.84 is: 20,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,356.84 : 83,035.54 = 13,803.84 : x
  2. Step 2: Convert to fraction form
    55,356.84/83,035.54 = 13,803.84/x
  3. Step 3: Cross multiply
    55,356.84x = 83,035.54 × 13,803.84
  4. Step 4: Simplify right side
    55,356.84x = 1,146,209,308.47
  5. Step 5: Solve for x
    x = 1,146,209,308.47/55,356.84
  6. Step 6: Final answer
    x = 20,705.83

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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.