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Finding the Fourth Proportional to 39,576, 59,312.16 and 22,054.08

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Solution

The fourth proportional to 39,576, 59,312.16 and 22,054.08 is: 33,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,576 : 59,312.16 = 22,054.08 : x
  2. Step 2: Convert to fraction form
    39,576/59,312.16 = 22,054.08/x
  3. Step 3: Cross multiply
    39,576x = 59,312.16 × 22,054.08
  4. Step 4: Simplify right side
    39,576x = 1,308,075,121.61
  5. Step 5: Solve for x
    x = 1,308,075,121.61/39,576
  6. Step 6: Final answer
    x = 33,052.23

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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.