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Finding the Fourth Proportional to 105,201, 157,828.86 and 31,329

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Solution

The fourth proportional to 105,201, 157,828.86 and 31,329 is: 47,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,201 : 157,828.86 = 31,329 : x
  2. Step 2: Convert to fraction form
    105,201/157,828.86 = 31,329/x
  3. Step 3: Cross multiply
    105,201x = 157,828.86 × 31,329
  4. Step 4: Simplify right side
    105,201x = 4,944,620,354.94
  5. Step 5: Solve for x
    x = 4,944,620,354.94/105,201
  6. Step 6: Final answer
    x = 47,001.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.