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Finding the Fourth Proportional to 32,908, 45,413.04 and 18,004

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Solution

The fourth proportional to 32,908, 45,413.04 and 18,004 is: 24,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,908 : 45,413.04 = 18,004 : x
  2. Step 2: Convert to fraction form
    32,908/45,413.04 = 18,004/x
  3. Step 3: Cross multiply
    32,908x = 45,413.04 × 18,004
  4. Step 4: Simplify right side
    32,908x = 817,616,372.16
  5. Step 5: Solve for x
    x = 817,616,372.16/32,908
  6. Step 6: Final answer
    x = 24,845.52

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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.