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Finding the Fourth Proportional to 32,066.61, 48,104.70 and 9,878.13

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Solution

The fourth proportional to 32,066.61, 48,104.70 and 9,878.13 is: 14,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,066.61 : 48,104.70 = 9,878.13 : x
  2. Step 2: Convert to fraction form
    32,066.61/48,104.70 = 9,878.13/x
  3. Step 3: Cross multiply
    32,066.61x = 48,104.70 × 9,878.13
  4. Step 4: Simplify right side
    32,066.61x = 475,184,480.21
  5. Step 5: Solve for x
    x = 475,184,480.21/32,066.61
  6. Step 6: Final answer
    x = 14,818.67

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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.