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Finding the Fourth Proportional to 32,328.90, 44,603.48 and 19,578

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Solution

The fourth proportional to 32,328.90, 44,603.48 and 19,578 is: 27,011.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,328.90 : 44,603.48 = 19,578 : x
  2. Step 2: Convert to fraction form
    32,328.90/44,603.48 = 19,578/x
  3. Step 3: Cross multiply
    32,328.90x = 44,603.48 × 19,578
  4. Step 4: Simplify right side
    32,328.90x = 873,246,931.44
  5. Step 5: Solve for x
    x = 873,246,931.44/32,328.90
  6. Step 6: Final answer
    x = 27,011.34

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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.