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Finding the Fourth Proportional to 47,714.48, 65,848.04 and 26,493.76

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Solution

The fourth proportional to 47,714.48, 65,848.04 and 26,493.76 is: 36,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.48 : 65,848.04 = 26,493.76 : x
  2. Step 2: Convert to fraction form
    47,714.48/65,848.04 = 26,493.76/x
  3. Step 3: Cross multiply
    47,714.48x = 65,848.04 × 26,493.76
  4. Step 4: Simplify right side
    47,714.48x = 1,744,562,168.23
  5. Step 5: Solve for x
    x = 1,744,562,168.23/47,714.48
  6. Step 6: Final answer
    x = 36,562.53

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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.