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Finding the Fourth Proportional to 53,447, 73,757.36 and 29,574.20

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Solution

The fourth proportional to 53,447, 73,757.36 and 29,574.20 is: 40,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,447 : 73,757.36 = 29,574.20 : x
  2. Step 2: Convert to fraction form
    53,447/73,757.36 = 29,574.20/x
  3. Step 3: Cross multiply
    53,447x = 73,757.36 × 29,574.20
  4. Step 4: Simplify right side
    53,447x = 2,181,314,916.11
  5. Step 5: Solve for x
    x = 2,181,314,916.11/53,447
  6. Step 6: Final answer
    x = 40,812.67

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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.