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Finding the Fourth Proportional to 101,835, 152,752.77 and 31,714.38

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Solution

The fourth proportional to 101,835, 152,752.77 and 31,714.38 is: 47,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,835 : 152,752.77 = 31,714.38 : x
  2. Step 2: Convert to fraction form
    101,835/152,752.77 = 31,714.38/x
  3. Step 3: Cross multiply
    101,835x = 152,752.77 × 31,714.38
  4. Step 4: Simplify right side
    101,835x = 4,844,459,393.83
  5. Step 5: Solve for x
    x = 4,844,459,393.83/101,835
  6. Step 6: Final answer
    x = 47,571.65

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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.