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Finding the Fourth Proportional to 31,527.66, 47,208.05 and 19,030.98

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Solution

The fourth proportional to 31,527.66, 47,208.05 and 19,030.98 is: 28,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527.66 : 47,208.05 = 19,030.98 : x
  2. Step 2: Convert to fraction form
    31,527.66/47,208.05 = 19,030.98/x
  3. Step 3: Cross multiply
    31,527.66x = 47,208.05 × 19,030.98
  4. Step 4: Simplify right side
    31,527.66x = 898,415,455.39
  5. Step 5: Solve for x
    x = 898,415,455.39/31,527.66
  6. Step 6: Final answer
    x = 28,496.10

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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.