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Finding the Fourth Proportional to 31,000.51, 46,503.87 and 9,935.29

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Solution

The fourth proportional to 31,000.51, 46,503.87 and 9,935.29 is: 14,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.51 : 46,503.87 = 9,935.29 : x
  2. Step 2: Convert to fraction form
    31,000.51/46,503.87 = 9,935.29/x
  3. Step 3: Cross multiply
    31,000.51x = 46,503.87 × 9,935.29
  4. Step 4: Simplify right side
    31,000.51x = 462,029,434.57
  5. Step 5: Solve for x
    x = 462,029,434.57/31,000.51
  6. Step 6: Final answer
    x = 14,903.93

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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.