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Finding the Fourth Proportional to 75,948, 113,918.56 and 23,355.20

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Solution

The fourth proportional to 75,948, 113,918.56 and 23,355.20 is: 35,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,948 : 113,918.56 = 23,355.20 : x
  2. Step 2: Convert to fraction form
    75,948/113,918.56 = 23,355.20/x
  3. Step 3: Cross multiply
    75,948x = 113,918.56 × 23,355.20
  4. Step 4: Simplify right side
    75,948x = 2,660,590,752.51
  5. Step 5: Solve for x
    x = 2,660,590,752.51/75,948
  6. Step 6: Final answer
    x = 35,031.74

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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.