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Finding the Fourth Proportional to 39,578, 59,315.16 and 22,056.08

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Solution

The fourth proportional to 39,578, 59,315.16 and 22,056.08 is: 33,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,578 : 59,315.16 = 22,056.08 : x
  2. Step 2: Convert to fraction form
    39,578/59,315.16 = 22,056.08/x
  3. Step 3: Cross multiply
    39,578x = 59,315.16 × 22,056.08
  4. Step 4: Simplify right side
    39,578x = 1,308,259,914.17
  5. Step 5: Solve for x
    x = 1,308,259,914.17/39,578
  6. Step 6: Final answer
    x = 33,055.23

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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.