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Finding the Fourth Proportional to 31,776.37, 47,670.03 and 13,066.58

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Solution

The fourth proportional to 31,776.37, 47,670.03 and 13,066.58 is: 19,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.37 : 47,670.03 = 13,066.58 : x
  2. Step 2: Convert to fraction form
    31,776.37/47,670.03 = 13,066.58/x
  3. Step 3: Cross multiply
    31,776.37x = 47,670.03 × 13,066.58
  4. Step 4: Simplify right side
    31,776.37x = 622,884,379.77
  5. Step 5: Solve for x
    x = 622,884,379.77/31,776.37
  6. Step 6: Final answer
    x = 19,602.13

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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.