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Finding the Fourth Proportional to 31,134, 46,701.41 and 10,357.50

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Solution

The fourth proportional to 31,134, 46,701.41 and 10,357.50 is: 15,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134 : 46,701.41 = 10,357.50 : x
  2. Step 2: Convert to fraction form
    31,134/46,701.41 = 10,357.50/x
  3. Step 3: Cross multiply
    31,134x = 46,701.41 × 10,357.50
  4. Step 4: Simplify right side
    31,134x = 483,709,802.29
  5. Step 5: Solve for x
    x = 483,709,802.29/31,134
  6. Step 6: Final answer
    x = 15,536.38

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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.