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Finding the Fourth Proportional to 38,461.86, 53,077.86 and 22,542.30

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Solution

The fourth proportional to 38,461.86, 53,077.86 and 22,542.30 is: 31,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.86 : 53,077.86 = 22,542.30 : x
  2. Step 2: Convert to fraction form
    38,461.86/53,077.86 = 22,542.30/x
  3. Step 3: Cross multiply
    38,461.86x = 53,077.86 × 22,542.30
  4. Step 4: Simplify right side
    38,461.86x = 1,196,497,043.48
  5. Step 5: Solve for x
    x = 1,196,497,043.48/38,461.86
  6. Step 6: Final answer
    x = 31,108.66

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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.