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Finding the Fourth Proportional to 55,433.84, 83,178.84 and 24,269.36

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Solution

The fourth proportional to 55,433.84, 83,178.84 and 24,269.36 is: 36,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,433.84 : 83,178.84 = 24,269.36 : x
  2. Step 2: Convert to fraction form
    55,433.84/83,178.84 = 24,269.36/x
  3. Step 3: Cross multiply
    55,433.84x = 83,178.84 × 24,269.36
  4. Step 4: Simplify right side
    55,433.84x = 2,018,697,212.34
  5. Step 5: Solve for x
    x = 2,018,697,212.34/55,433.84
  6. Step 6: Final answer
    x = 36,416.33

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1.5x scale

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.