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Finding the Fourth Proportional to 31,348.66, 47,030.15 and 13,582.27

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Solution

The fourth proportional to 31,348.66, 47,030.15 and 13,582.27 is: 20,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,348.66 : 47,030.15 = 13,582.27 : x
  2. Step 2: Convert to fraction form
    31,348.66/47,030.15 = 13,582.27/x
  3. Step 3: Cross multiply
    31,348.66x = 47,030.15 × 13,582.27
  4. Step 4: Simplify right side
    31,348.66x = 638,776,009.95
  5. Step 5: Solve for x
    x = 638,776,009.95/31,348.66
  6. Step 6: Final answer
    x = 20,376.50

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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.