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Finding the Fourth Proportional to 75,604, 113,410.80 and 23,017.36

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Solution

The fourth proportional to 75,604, 113,410.80 and 23,017.36 is: 34,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,604 : 113,410.80 = 23,017.36 : x
  2. Step 2: Convert to fraction form
    75,604/113,410.80 = 23,017.36/x
  3. Step 3: Cross multiply
    75,604x = 113,410.80 × 23,017.36
  4. Step 4: Simplify right side
    75,604x = 2,610,417,211.49
  5. Step 5: Solve for x
    x = 2,610,417,211.49/75,604
  6. Step 6: Final answer
    x = 34,527.50

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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.