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Finding the Fourth Proportional to 74,740, 112,127.76 and 25,492

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Solution

The fourth proportional to 74,740, 112,127.76 and 25,492 is: 38,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,740 : 112,127.76 = 25,492 : x
  2. Step 2: Convert to fraction form
    74,740/112,127.76 = 25,492/x
  3. Step 3: Cross multiply
    74,740x = 112,127.76 × 25,492
  4. Step 4: Simplify right side
    74,740x = 2,858,360,857.92
  5. Step 5: Solve for x
    x = 2,858,360,857.92/74,740
  6. Step 6: Final answer
    x = 38,244.06

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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.