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Finding the Fourth Proportional to 82,632.81, 114,033.24 and 44,907.06

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Solution

The fourth proportional to 82,632.81, 114,033.24 and 44,907.06 is: 61,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,632.81 : 114,033.24 = 44,907.06 : x
  2. Step 2: Convert to fraction form
    82,632.81/114,033.24 = 44,907.06/x
  3. Step 3: Cross multiply
    82,632.81x = 114,033.24 × 44,907.06
  4. Step 4: Simplify right side
    82,632.81x = 5,120,897,550.67
  5. Step 5: Solve for x
    x = 5,120,897,550.67/82,632.81
  6. Step 6: Final answer
    x = 61,971.72

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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.