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Finding the Fourth Proportional to 53,471.34, 73,823.91 and 34,358.82

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Solution

The fourth proportional to 53,471.34, 73,823.91 and 34,358.82 is: 47,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,471.34 : 73,823.91 = 34,358.82 : x
  2. Step 2: Convert to fraction form
    53,471.34/73,823.91 = 34,358.82/x
  3. Step 3: Cross multiply
    53,471.34x = 73,823.91 × 34,358.82
  4. Step 4: Simplify right side
    53,471.34x = 2,536,502,435.39
  5. Step 5: Solve for x
    x = 2,536,502,435.39/53,471.34
  6. Step 6: Final answer
    x = 47,436.67

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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.