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Finding the Fourth Proportional to 32,235.40, 48,407.63 and 21,009.81

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Solution

The fourth proportional to 32,235.40, 48,407.63 and 21,009.81 is: 31,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,235.40 : 48,407.63 = 21,009.81 : x
  2. Step 2: Convert to fraction form
    32,235.40/48,407.63 = 21,009.81/x
  3. Step 3: Cross multiply
    32,235.40x = 48,407.63 × 21,009.81
  4. Step 4: Simplify right side
    32,235.40x = 1,017,035,108.85
  5. Step 5: Solve for x
    x = 1,017,035,108.85/32,235.40
  6. Step 6: Final answer
    x = 31,550.26

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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.