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Finding the Fourth Proportional to 47,447.51, 65,475 and 26,225.51

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Solution

The fourth proportional to 47,447.51, 65,475 and 26,225.51 is: 36,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,447.51 : 65,475 = 26,225.51 : x
  2. Step 2: Convert to fraction form
    47,447.51/65,475 = 26,225.51/x
  3. Step 3: Cross multiply
    47,447.51x = 65,475 × 26,225.51
  4. Step 4: Simplify right side
    47,447.51x = 1,717,114,939.88
  5. Step 5: Solve for x
    x = 1,717,114,939.88/47,447.51
  6. Step 6: Final answer
    x = 36,189.78

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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.