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Finding the Fourth Proportional to 91,482.36, 137,204.34 and 25,803

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Solution

The fourth proportional to 91,482.36, 137,204.34 and 25,803 is: 38,699.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,482.36 : 137,204.34 = 25,803 : x
  2. Step 2: Convert to fraction form
    91,482.36/137,204.34 = 25,803/x
  3. Step 3: Cross multiply
    91,482.36x = 137,204.34 × 25,803
  4. Step 4: Simplify right side
    91,482.36x = 3,540,283,585.02
  5. Step 5: Solve for x
    x = 3,540,283,585.02/91,482.36
  6. Step 6: Final answer
    x = 38,699.08

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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.