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Finding the Fourth Proportional to 106,588.88, 159,855.48 and 31,688.86

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Solution

The fourth proportional to 106,588.88, 159,855.48 and 31,688.86 is: 47,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,588.88 : 159,855.48 = 31,688.86 : x
  2. Step 2: Convert to fraction form
    106,588.88/159,855.48 = 31,688.86/x
  3. Step 3: Cross multiply
    106,588.88x = 159,855.48 × 31,688.86
  4. Step 4: Simplify right side
    106,588.88x = 5,065,637,925.95
  5. Step 5: Solve for x
    x = 5,065,637,925.95/106,588.88
  6. Step 6: Final answer
    x = 47,525.01

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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.