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Finding the Fourth Proportional to 75,762.66, 113,643.93 and 20,358.66

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Solution

The fourth proportional to 75,762.66, 113,643.93 and 20,358.66 is: 30,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762.66 : 113,643.93 = 20,358.66 : x
  2. Step 2: Convert to fraction form
    75,762.66/113,643.93 = 20,358.66/x
  3. Step 3: Cross multiply
    75,762.66x = 113,643.93 × 20,358.66
  4. Step 4: Simplify right side
    75,762.66x = 2,313,638,131.93
  5. Step 5: Solve for x
    x = 2,313,638,131.93/75,762.66
  6. Step 6: Final answer
    x = 30,537.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.