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Finding the Fourth Proportional to 31,705.45, 47,558.07 and 9,518.81

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Solution

The fourth proportional to 31,705.45, 47,558.07 and 9,518.81 is: 14,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.45 : 47,558.07 = 9,518.81 : x
  2. Step 2: Convert to fraction form
    31,705.45/47,558.07 = 9,518.81/x
  3. Step 3: Cross multiply
    31,705.45x = 47,558.07 × 9,518.81
  4. Step 4: Simplify right side
    31,705.45x = 452,695,994.51
  5. Step 5: Solve for x
    x = 452,695,994.51/31,705.45
  6. Step 6: Final answer
    x = 14,278.18

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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.