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Finding the Fourth Proportional to 32,066.16, 48,105.54 and 9,875.76

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Solution

The fourth proportional to 32,066.16, 48,105.54 and 9,875.76 is: 14,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,066.16 : 48,105.54 = 9,875.76 : x
  2. Step 2: Convert to fraction form
    32,066.16/48,105.54 = 9,875.76/x
  3. Step 3: Cross multiply
    32,066.16x = 48,105.54 × 9,875.76
  4. Step 4: Simplify right side
    32,066.16x = 475,078,767.71
  5. Step 5: Solve for x
    x = 475,078,767.71/32,066.16
  6. Step 6: Final answer
    x = 14,815.58

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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.