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Finding the Fourth Proportional to 32,911.37, 45,417.91 and 20,164.58

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Solution

The fourth proportional to 32,911.37, 45,417.91 and 20,164.58 is: 27,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,911.37 : 45,417.91 = 20,164.58 : x
  2. Step 2: Convert to fraction form
    32,911.37/45,417.91 = 20,164.58/x
  3. Step 3: Cross multiply
    32,911.37x = 45,417.91 × 20,164.58
  4. Step 4: Simplify right side
    32,911.37x = 915,832,802.13
  5. Step 5: Solve for x
    x = 915,832,802.13/32,911.37
  6. Step 6: Final answer
    x = 27,827.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.