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Finding the Fourth Proportional to 73,294.94, 109,756.33 and 61,417.48

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Solution

The fourth proportional to 73,294.94, 109,756.33 and 61,417.48 is: 91,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,294.94 : 109,756.33 = 61,417.48 : x
  2. Step 2: Convert to fraction form
    73,294.94/109,756.33 = 61,417.48/x
  3. Step 3: Cross multiply
    73,294.94x = 109,756.33 × 61,417.48
  4. Step 4: Simplify right side
    73,294.94x = 6,740,956,653.87
  5. Step 5: Solve for x
    x = 6,740,956,653.87/73,294.94
  6. Step 6: Final answer
    x = 91,970.29

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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.