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Finding the Fourth Proportional to 42,122.25, 63,187.02 and 10,957.50

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Solution

The fourth proportional to 42,122.25, 63,187.02 and 10,957.50 is: 16,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,122.25 : 63,187.02 = 10,957.50 : x
  2. Step 2: Convert to fraction form
    42,122.25/63,187.02 = 10,957.50/x
  3. Step 3: Cross multiply
    42,122.25x = 63,187.02 × 10,957.50
  4. Step 4: Simplify right side
    42,122.25x = 692,371,771.65
  5. Step 5: Solve for x
    x = 692,371,771.65/42,122.25
  6. Step 6: Final answer
    x = 16,437.20

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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.