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Finding the Fourth Proportional to 82,707, 114,135.66 and 44,982.06

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Solution

The fourth proportional to 82,707, 114,135.66 and 44,982.06 is: 62,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,707 : 114,135.66 = 44,982.06 : x
  2. Step 2: Convert to fraction form
    82,707/114,135.66 = 44,982.06/x
  3. Step 3: Cross multiply
    82,707x = 114,135.66 × 44,982.06
  4. Step 4: Simplify right side
    82,707x = 5,134,057,106.26
  5. Step 5: Solve for x
    x = 5,134,057,106.26/82,707
  6. Step 6: Final answer
    x = 62,075.24

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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.