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Finding the Fourth Proportional to 75,114.71, 103,658.37 and 46,820.42

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Solution

The fourth proportional to 75,114.71, 103,658.37 and 46,820.42 is: 64,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114.71 : 103,658.37 = 46,820.42 : x
  2. Step 2: Convert to fraction form
    75,114.71/103,658.37 = 46,820.42/x
  3. Step 3: Cross multiply
    75,114.71x = 103,658.37 × 46,820.42
  4. Step 4: Simplify right side
    75,114.71x = 4,853,328,419.92
  5. Step 5: Solve for x
    x = 4,853,328,419.92/75,114.71
  6. Step 6: Final answer
    x = 64,612.22

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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.