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Finding the Fourth Proportional to 34,875.96, 48,145.35 and 22,308

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Solution

The fourth proportional to 34,875.96, 48,145.35 and 22,308 is: 30,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,875.96 : 48,145.35 = 22,308 : x
  2. Step 2: Convert to fraction form
    34,875.96/48,145.35 = 22,308/x
  3. Step 3: Cross multiply
    34,875.96x = 48,145.35 × 22,308
  4. Step 4: Simplify right side
    34,875.96x = 1,074,026,467.80
  5. Step 5: Solve for x
    x = 1,074,026,467.80/34,875.96
  6. Step 6: Final answer
    x = 30,795.61

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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.