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Finding the Fourth Proportional to 32,898, 49,341.54 and 11,833.77

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Solution

The fourth proportional to 32,898, 49,341.54 and 11,833.77 is: 17,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898 : 49,341.54 = 11,833.77 : x
  2. Step 2: Convert to fraction form
    32,898/49,341.54 = 11,833.77/x
  3. Step 3: Cross multiply
    32,898x = 49,341.54 × 11,833.77
  4. Step 4: Simplify right side
    32,898x = 583,896,435.81
  5. Step 5: Solve for x
    x = 583,896,435.81/32,898
  6. Step 6: Final answer
    x = 17,748.69

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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.