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Finding the Fourth Proportional to 32,038.72, 48,075.32 and 13,331.66

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Solution

The fourth proportional to 32,038.72, 48,075.32 and 13,331.66 is: 20,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.72 : 48,075.32 = 13,331.66 : x
  2. Step 2: Convert to fraction form
    32,038.72/48,075.32 = 13,331.66/x
  3. Step 3: Cross multiply
    32,038.72x = 48,075.32 × 13,331.66
  4. Step 4: Simplify right side
    32,038.72x = 640,923,820.63
  5. Step 5: Solve for x
    x = 640,923,820.63/32,038.72
  6. Step 6: Final answer
    x = 20,004.66

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