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Finding the Fourth Proportional to 35,567.48, 49,106 and 22,826.15

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Solution

The fourth proportional to 35,567.48, 49,106 and 22,826.15 is: 31,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,567.48 : 49,106 = 22,826.15 : x
  2. Step 2: Convert to fraction form
    35,567.48/49,106 = 22,826.15/x
  3. Step 3: Cross multiply
    35,567.48x = 49,106 × 22,826.15
  4. Step 4: Simplify right side
    35,567.48x = 1,120,900,921.90
  5. Step 5: Solve for x
    x = 1,120,900,921.90/35,567.48
  6. Step 6: Final answer
    x = 31,514.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.