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Finding the Fourth Proportional to 106,411.84, 159,617.76 and 36,291.76

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Solution

The fourth proportional to 106,411.84, 159,617.76 and 36,291.76 is: 54,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,411.84 : 159,617.76 = 36,291.76 : x
  2. Step 2: Convert to fraction form
    106,411.84/159,617.76 = 36,291.76/x
  3. Step 3: Cross multiply
    106,411.84x = 159,617.76 × 36,291.76
  4. Step 4: Simplify right side
    106,411.84x = 5,792,809,437.66
  5. Step 5: Solve for x
    x = 5,792,809,437.66/106,411.84
  6. Step 6: Final answer
    x = 54,437.64

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1.5x scale

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.