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Finding the Fourth Proportional to 32,797.98, 49,203.24 and 14,075.34

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Solution

The fourth proportional to 32,797.98, 49,203.24 and 14,075.34 is: 21,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.98 : 49,203.24 = 14,075.34 : x
  2. Step 2: Convert to fraction form
    32,797.98/49,203.24 = 14,075.34/x
  3. Step 3: Cross multiply
    32,797.98x = 49,203.24 × 14,075.34
  4. Step 4: Simplify right side
    32,797.98x = 692,552,332.10
  5. Step 5: Solve for x
    x = 692,552,332.10/32,797.98
  6. Step 6: Final answer
    x = 21,115.70

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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.