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Finding the Fourth Proportional to 106,509.84, 159,737.34 and 31,612.26

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Solution

The fourth proportional to 106,509.84, 159,737.34 and 31,612.26 is: 47,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509.84 : 159,737.34 = 31,612.26 : x
  2. Step 2: Convert to fraction form
    106,509.84/159,737.34 = 31,612.26/x
  3. Step 3: Cross multiply
    106,509.84x = 159,737.34 × 31,612.26
  4. Step 4: Simplify right side
    106,509.84x = 5,049,658,323.79
  5. Step 5: Solve for x
    x = 5,049,658,323.79/106,509.84
  6. Step 6: Final answer
    x = 47,410.25

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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.