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Finding the Fourth Proportional to 32,095.94, 48,148.35 and 9,911.06

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Solution

The fourth proportional to 32,095.94, 48,148.35 and 9,911.06 is: 14,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.94 : 48,148.35 = 9,911.06 : x
  2. Step 2: Convert to fraction form
    32,095.94/48,148.35 = 9,911.06/x
  3. Step 3: Cross multiply
    32,095.94x = 48,148.35 × 9,911.06
  4. Step 4: Simplify right side
    32,095.94x = 477,201,185.75
  5. Step 5: Solve for x
    x = 477,201,185.75/32,095.94
  6. Step 6: Final answer
    x = 14,867.96

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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.