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Finding the Fourth Proportional to 32,762.66, 49,070.14 and 22,945.76

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Solution

The fourth proportional to 32,762.66, 49,070.14 and 22,945.76 is: 34,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.66 : 49,070.14 = 22,945.76 : x
  2. Step 2: Convert to fraction form
    32,762.66/49,070.14 = 22,945.76/x
  3. Step 3: Cross multiply
    32,762.66x = 49,070.14 × 22,945.76
  4. Step 4: Simplify right side
    32,762.66x = 1,125,951,352.89
  5. Step 5: Solve for x
    x = 1,125,951,352.89/32,762.66
  6. Step 6: Final answer
    x = 34,366.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.