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Finding the Fourth Proportional to 32,189.34, 44,417.73 and 17,848.81

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Solution

The fourth proportional to 32,189.34, 44,417.73 and 17,848.81 is: 24,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.34 : 44,417.73 = 17,848.81 : x
  2. Step 2: Convert to fraction form
    32,189.34/44,417.73 = 17,848.81/x
  3. Step 3: Cross multiply
    32,189.34x = 44,417.73 × 17,848.81
  4. Step 4: Simplify right side
    32,189.34x = 792,803,623.40
  5. Step 5: Solve for x
    x = 792,803,623.40/32,189.34
  6. Step 6: Final answer
    x = 24,629.38

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Why These Related Problems?

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