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Finding the Fourth Proportional to 101,343, 152,034.66 and 31,219.32

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Solution

The fourth proportional to 101,343, 152,034.66 and 31,219.32 is: 46,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,343 : 152,034.66 = 31,219.32 : x
  2. Step 2: Convert to fraction form
    101,343/152,034.66 = 31,219.32/x
  3. Step 3: Cross multiply
    101,343x = 152,034.66 × 31,219.32
  4. Step 4: Simplify right side
    101,343x = 4,746,418,701.63
  5. Step 5: Solve for x
    x = 4,746,418,701.63/101,343
  6. Step 6: Final answer
    x = 46,835.19

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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.