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Finding the Fourth Proportional to 38,408.95, 53,004.82 and 22,280.00

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Solution

The fourth proportional to 38,408.95, 53,004.82 and 22,280.00 is: 30,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408.95 : 53,004.82 = 22,280.00 : x
  2. Step 2: Convert to fraction form
    38,408.95/53,004.82 = 22,280.00/x
  3. Step 3: Cross multiply
    38,408.95x = 53,004.82 × 22,280.00
  4. Step 4: Simplify right side
    38,408.95x = 1,180,947,173.31
  5. Step 5: Solve for x
    x = 1,180,947,173.31/38,408.95
  6. Step 6: Final answer
    x = 30,746.67

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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.