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Finding the Fourth Proportional to 30,785.76, 46,177.95 and 8,598.63

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Solution

The fourth proportional to 30,785.76, 46,177.95 and 8,598.63 is: 12,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.76 : 46,177.95 = 8,598.63 : x
  2. Step 2: Convert to fraction form
    30,785.76/46,177.95 = 8,598.63/x
  3. Step 3: Cross multiply
    30,785.76x = 46,177.95 × 8,598.63
  4. Step 4: Simplify right side
    30,785.76x = 397,067,106.21
  5. Step 5: Solve for x
    x = 397,067,106.21/30,785.76
  6. Step 6: Final answer
    x = 12,897.75

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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.