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Finding the Fourth Proportional to 74,887.25, 112,302.25 and 24,957.77

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Solution

The fourth proportional to 74,887.25, 112,302.25 and 24,957.77 is: 37,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,887.25 : 112,302.25 = 24,957.77 : x
  2. Step 2: Convert to fraction form
    74,887.25/112,302.25 = 24,957.77/x
  3. Step 3: Cross multiply
    74,887.25x = 112,302.25 × 24,957.77
  4. Step 4: Simplify right side
    74,887.25x = 2,802,813,102.08
  5. Step 5: Solve for x
    x = 2,802,813,102.08/74,887.25
  6. Step 6: Final answer
    x = 37,427.11

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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.