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Finding the Fourth Proportional to 101,376.64, 152,055.22 and 31,237.12

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Solution

The fourth proportional to 101,376.64, 152,055.22 and 31,237.12 is: 46,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,376.64 : 152,055.22 = 31,237.12 : x
  2. Step 2: Convert to fraction form
    101,376.64/152,055.22 = 31,237.12/x
  3. Step 3: Cross multiply
    101,376.64x = 152,055.22 × 31,237.12
  4. Step 4: Simplify right side
    101,376.64x = 4,749,767,153.77
  5. Step 5: Solve for x
    x = 4,749,767,153.77/101,376.64
  6. Step 6: Final answer
    x = 46,852.68

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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.