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Finding the Fourth Proportional to 31,290.36, 46,925.82 and 10,509

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Solution

The fourth proportional to 31,290.36, 46,925.82 and 10,509 is: 15,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.36 : 46,925.82 = 10,509 : x
  2. Step 2: Convert to fraction form
    31,290.36/46,925.82 = 10,509/x
  3. Step 3: Cross multiply
    31,290.36x = 46,925.82 × 10,509
  4. Step 4: Simplify right side
    31,290.36x = 493,143,442.38
  5. Step 5: Solve for x
    x = 493,143,442.38/31,290.36
  6. Step 6: Final answer
    x = 15,760.24

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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.