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Finding the Fourth Proportional to 99,409.92, 149,068.80 and 37,063.68

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Solution

The fourth proportional to 99,409.92, 149,068.80 and 37,063.68 is: 55,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,409.92 : 149,068.80 = 37,063.68 : x
  2. Step 2: Convert to fraction form
    99,409.92/149,068.80 = 37,063.68/x
  3. Step 3: Cross multiply
    99,409.92x = 149,068.80 × 37,063.68
  4. Step 4: Simplify right side
    99,409.92x = 5,525,038,301.18
  5. Step 5: Solve for x
    x = 5,525,038,301.18/99,409.92
  6. Step 6: Final answer
    x = 55,578.34

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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.