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Finding the Fourth Proportional to 32,735.66, 49,106.66 and 13,009.82

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Solution

The fourth proportional to 32,735.66, 49,106.66 and 13,009.82 is: 19,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,735.66 : 49,106.66 = 13,009.82 : x
  2. Step 2: Convert to fraction form
    32,735.66/49,106.66 = 13,009.82/x
  3. Step 3: Cross multiply
    32,735.66x = 49,106.66 × 13,009.82
  4. Step 4: Simplify right side
    32,735.66x = 638,868,496.82
  5. Step 5: Solve for x
    x = 638,868,496.82/32,735.66
  6. Step 6: Final answer
    x = 19,515.98

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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.