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Finding the Fourth Proportional to 76,397.70, 105,417.59 and 42,406.44

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Solution

The fourth proportional to 76,397.70, 105,417.59 and 42,406.44 is: 58,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,397.70 : 105,417.59 = 42,406.44 : x
  2. Step 2: Convert to fraction form
    76,397.70/105,417.59 = 42,406.44/x
  3. Step 3: Cross multiply
    76,397.70x = 105,417.59 × 42,406.44
  4. Step 4: Simplify right side
    76,397.70x = 4,470,384,493.25
  5. Step 5: Solve for x
    x = 4,470,384,493.25/76,397.70
  6. Step 6: Final answer
    x = 58,514.65

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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.