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Finding the Fourth Proportional to 83,191.26, 114,803.67 and 45,465.51

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Solution

The fourth proportional to 83,191.26, 114,803.67 and 45,465.51 is: 62,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,191.26 : 114,803.67 = 45,465.51 : x
  2. Step 2: Convert to fraction form
    83,191.26/114,803.67 = 45,465.51/x
  3. Step 3: Cross multiply
    83,191.26x = 114,803.67 × 45,465.51
  4. Step 4: Simplify right side
    83,191.26x = 5,219,607,406.42
  5. Step 5: Solve for x
    x = 5,219,607,406.42/83,191.26
  6. Step 6: Final answer
    x = 62,742.26

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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.