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Finding the Fourth Proportional to 54,098.83, 74,655 and 30,225.67

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Solution

The fourth proportional to 54,098.83, 74,655 and 30,225.67 is: 41,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,098.83 : 74,655 = 30,225.67 : x
  2. Step 2: Convert to fraction form
    54,098.83/74,655 = 30,225.67/x
  3. Step 3: Cross multiply
    54,098.83x = 74,655 × 30,225.67
  4. Step 4: Simplify right side
    54,098.83x = 2,256,497,393.85
  5. Step 5: Solve for x
    x = 2,256,497,393.85/54,098.83
  6. Step 6: Final answer
    x = 41,710.65

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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.