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Finding the Fourth Proportional to 30,859.66, 46,291.10 and 9,801.38

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Solution

The fourth proportional to 30,859.66, 46,291.10 and 9,801.38 is: 14,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.66 : 46,291.10 = 9,801.38 : x
  2. Step 2: Convert to fraction form
    30,859.66/46,291.10 = 9,801.38/x
  3. Step 3: Cross multiply
    30,859.66x = 46,291.10 × 9,801.38
  4. Step 4: Simplify right side
    30,859.66x = 453,716,661.72
  5. Step 5: Solve for x
    x = 453,716,661.72/30,859.66
  6. Step 6: Final answer
    x = 14,702.58

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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.