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Finding the Fourth Proportional to 34,656.48, 47,826 and 19,752.48

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Solution

The fourth proportional to 34,656.48, 47,826 and 19,752.48 is: 27,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.48 : 47,826 = 19,752.48 : x
  2. Step 2: Convert to fraction form
    34,656.48/47,826 = 19,752.48/x
  3. Step 3: Cross multiply
    34,656.48x = 47,826 × 19,752.48
  4. Step 4: Simplify right side
    34,656.48x = 944,682,108.48
  5. Step 5: Solve for x
    x = 944,682,108.48/34,656.48
  6. Step 6: Final answer
    x = 27,258.46

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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.