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Finding the Fourth Proportional to 32,583.48, 48,879.45 and 9,210.48

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Solution

The fourth proportional to 32,583.48, 48,879.45 and 9,210.48 is: 13,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583.48 : 48,879.45 = 9,210.48 : x
  2. Step 2: Convert to fraction form
    32,583.48/48,879.45 = 9,210.48/x
  3. Step 3: Cross multiply
    32,583.48x = 48,879.45 × 9,210.48
  4. Step 4: Simplify right side
    32,583.48x = 450,203,196.64
  5. Step 5: Solve for x
    x = 450,203,196.64/32,583.48
  6. Step 6: Final answer
    x = 13,816.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.