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Finding the Fourth Proportional to 97,235.25, 145,852.88 and 31,571.25

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Solution

The fourth proportional to 97,235.25, 145,852.88 and 31,571.25 is: 47,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,235.25 : 145,852.88 = 31,571.25 : x
  2. Step 2: Convert to fraction form
    97,235.25/145,852.88 = 31,571.25/x
  3. Step 3: Cross multiply
    97,235.25x = 145,852.88 × 31,571.25
  4. Step 4: Simplify right side
    97,235.25x = 4,604,757,579.84
  5. Step 5: Solve for x
    x = 4,604,757,579.84/97,235.25
  6. Step 6: Final answer
    x = 47,356.88

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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.