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Finding the Fourth Proportional to 75,812.93, 113,741.26 and 23,230.16

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Solution

The fourth proportional to 75,812.93, 113,741.26 and 23,230.16 is: 34,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,812.93 : 113,741.26 = 23,230.16 : x
  2. Step 2: Convert to fraction form
    75,812.93/113,741.26 = 23,230.16/x
  3. Step 3: Cross multiply
    75,812.93x = 113,741.26 × 23,230.16
  4. Step 4: Simplify right side
    75,812.93x = 2,642,227,598.82
  5. Step 5: Solve for x
    x = 2,642,227,598.82/75,812.93
  6. Step 6: Final answer
    x = 34,851.94

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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.