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Finding the Fourth Proportional to 31,294.94, 46,942.40 and 7,602.34

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Solution

The fourth proportional to 31,294.94, 46,942.40 and 7,602.34 is: 11,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.94 : 46,942.40 = 7,602.34 : x
  2. Step 2: Convert to fraction form
    31,294.94/46,942.40 = 7,602.34/x
  3. Step 3: Cross multiply
    31,294.94x = 46,942.40 × 7,602.34
  4. Step 4: Simplify right side
    31,294.94x = 356,872,085.22
  5. Step 5: Solve for x
    x = 356,872,085.22/31,294.94
  6. Step 6: Final answer
    x = 11,403.51

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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.