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Finding the Fourth Proportional to 32,705.94, 49,055.25 and 11,645.13

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Solution

The fourth proportional to 32,705.94, 49,055.25 and 11,645.13 is: 17,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.94 : 49,055.25 = 11,645.13 : x
  2. Step 2: Convert to fraction form
    32,705.94/49,055.25 = 11,645.13/x
  3. Step 3: Cross multiply
    32,705.94x = 49,055.25 × 11,645.13
  4. Step 4: Simplify right side
    32,705.94x = 571,254,763.43
  5. Step 5: Solve for x
    x = 571,254,763.43/32,705.94
  6. Step 6: Final answer
    x = 17,466.39

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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.