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Finding the Fourth Proportional to 55,631.84, 83,448.12 and 14,078.84

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Solution

The fourth proportional to 55,631.84, 83,448.12 and 14,078.84 is: 21,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,631.84 : 83,448.12 = 14,078.84 : x
  2. Step 2: Convert to fraction form
    55,631.84/83,448.12 = 14,078.84/x
  3. Step 3: Cross multiply
    55,631.84x = 83,448.12 × 14,078.84
  4. Step 4: Simplify right side
    55,631.84x = 1,174,852,729.78
  5. Step 5: Solve for x
    x = 1,174,852,729.78/55,631.84
  6. Step 6: Final answer
    x = 21,118.35

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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.