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Finding the Fourth Proportional to 38,749, 53,483.34 and 22,827.64

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Solution

The fourth proportional to 38,749, 53,483.34 and 22,827.64 is: 31,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,749 : 53,483.34 = 22,827.64 : x
  2. Step 2: Convert to fraction form
    38,749/53,483.34 = 22,827.64/x
  3. Step 3: Cross multiply
    38,749x = 53,483.34 × 22,827.64
  4. Step 4: Simplify right side
    38,749x = 1,220,898,431.52
  5. Step 5: Solve for x
    x = 1,220,898,431.52/38,749
  6. Step 6: Final answer
    x = 31,507.87

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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.