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Finding the Fourth Proportional to 30,852.59, 46,283.41 and 9,785.61

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Solution

The fourth proportional to 30,852.59, 46,283.41 and 9,785.61 is: 14,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.59 : 46,283.41 = 9,785.61 : x
  2. Step 2: Convert to fraction form
    30,852.59/46,283.41 = 9,785.61/x
  3. Step 3: Cross multiply
    30,852.59x = 46,283.41 × 9,785.61
  4. Step 4: Simplify right side
    30,852.59x = 452,911,168.31
  5. Step 5: Solve for x
    x = 452,911,168.31/30,852.59
  6. Step 6: Final answer
    x = 14,679.84

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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.