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Finding the Fourth Proportional to 30,532.15, 45,804.80 and 9,471.77

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Solution

The fourth proportional to 30,532.15, 45,804.80 and 9,471.77 is: 14,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.15 : 45,804.80 = 9,471.77 : x
  2. Step 2: Convert to fraction form
    30,532.15/45,804.80 = 9,471.77/x
  3. Step 3: Cross multiply
    30,532.15x = 45,804.80 × 9,471.77
  4. Step 4: Simplify right side
    30,532.15x = 433,852,530.50
  5. Step 5: Solve for x
    x = 433,852,530.50/30,532.15
  6. Step 6: Final answer
    x = 14,209.69

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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.