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Finding the Fourth Proportional to 82,616.16, 114,011 and 44,890.42

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Solution

The fourth proportional to 82,616.16, 114,011 and 44,890.42 is: 61,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,616.16 : 114,011 = 44,890.42 : x
  2. Step 2: Convert to fraction form
    82,616.16/114,011 = 44,890.42/x
  3. Step 3: Cross multiply
    82,616.16x = 114,011 × 44,890.42
  4. Step 4: Simplify right side
    82,616.16x = 5,118,001,674.62
  5. Step 5: Solve for x
    x = 5,118,001,674.62/82,616.16
  6. Step 6: Final answer
    x = 61,949.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.