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Finding the Fourth Proportional to 31,135, 46,702.91 and 10,358.50

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Solution

The fourth proportional to 31,135, 46,702.91 and 10,358.50 is: 15,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,135 : 46,702.91 = 10,358.50 : x
  2. Step 2: Convert to fraction form
    31,135/46,702.91 = 10,358.50/x
  3. Step 3: Cross multiply
    31,135x = 46,702.91 × 10,358.50
  4. Step 4: Simplify right side
    31,135x = 483,772,093.24
  5. Step 5: Solve for x
    x = 483,772,093.24/31,135
  6. Step 6: Final answer
    x = 15,537.89

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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.