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Finding the Fourth Proportional to 31,875.35, 47,818.49 and 9,690.93

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Solution

The fourth proportional to 31,875.35, 47,818.49 and 9,690.93 is: 14,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.35 : 47,818.49 = 9,690.93 : x
  2. Step 2: Convert to fraction form
    31,875.35/47,818.49 = 9,690.93/x
  3. Step 3: Cross multiply
    31,875.35x = 47,818.49 × 9,690.93
  4. Step 4: Simplify right side
    31,875.35x = 463,405,590.84
  5. Step 5: Solve for x
    x = 463,405,590.84/31,875.35
  6. Step 6: Final answer
    x = 14,538.06

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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.