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Finding the Fourth Proportional to 30,852.30, 46,267.65 and 16,056.30

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Solution

The fourth proportional to 30,852.30, 46,267.65 and 16,056.30 is: 24,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.30 : 46,267.65 = 16,056.30 : x
  2. Step 2: Convert to fraction form
    30,852.30/46,267.65 = 16,056.30/x
  3. Step 3: Cross multiply
    30,852.30x = 46,267.65 × 16,056.30
  4. Step 4: Simplify right side
    30,852.30x = 742,887,268.70
  5. Step 5: Solve for x
    x = 742,887,268.70/30,852.30
  6. Step 6: Final answer
    x = 24,078.83

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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.