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Finding the Fourth Proportional to 75,658.58, 104,407.86 and 41,666.42

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Solution

The fourth proportional to 75,658.58, 104,407.86 and 41,666.42 is: 57,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,658.58 : 104,407.86 = 41,666.42 : x
  2. Step 2: Convert to fraction form
    75,658.58/104,407.86 = 41,666.42/x
  3. Step 3: Cross multiply
    75,658.58x = 104,407.86 × 41,666.42
  4. Step 4: Simplify right side
    75,658.58x = 4,350,301,746.06
  5. Step 5: Solve for x
    x = 4,350,301,746.06/75,658.58
  6. Step 6: Final answer
    x = 57,499.12

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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.