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Finding the Fourth Proportional to 32,259.93, 48,396.81 and 11,200.64

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Solution

The fourth proportional to 32,259.93, 48,396.81 and 11,200.64 is: 16,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,259.93 : 48,396.81 = 11,200.64 : x
  2. Step 2: Convert to fraction form
    32,259.93/48,396.81 = 11,200.64/x
  3. Step 3: Cross multiply
    32,259.93x = 48,396.81 × 11,200.64
  4. Step 4: Simplify right side
    32,259.93x = 542,075,003.97
  5. Step 5: Solve for x
    x = 542,075,003.97/32,259.93
  6. Step 6: Final answer
    x = 16,803.35

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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.