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Finding the Fourth Proportional to 32,583.51, 44,970.06 and 20,647.95

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Solution

The fourth proportional to 32,583.51, 44,970.06 and 20,647.95 is: 28,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583.51 : 44,970.06 = 20,647.95 : x
  2. Step 2: Convert to fraction form
    32,583.51/44,970.06 = 20,647.95/x
  3. Step 3: Cross multiply
    32,583.51x = 44,970.06 × 20,647.95
  4. Step 4: Simplify right side
    32,583.51x = 928,539,550.38
  5. Step 5: Solve for x
    x = 928,539,550.38/32,583.51
  6. Step 6: Final answer
    x = 28,497.22

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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.