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Finding the Fourth Proportional to 32,598.77, 48,894.05 and 10,410.30

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Solution

The fourth proportional to 32,598.77, 48,894.05 and 10,410.30 is: 15,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,598.77 : 48,894.05 = 10,410.30 : x
  2. Step 2: Convert to fraction form
    32,598.77/48,894.05 = 10,410.30/x
  3. Step 3: Cross multiply
    32,598.77x = 48,894.05 × 10,410.30
  4. Step 4: Simplify right side
    32,598.77x = 509,001,676.66
  5. Step 5: Solve for x
    x = 509,001,676.66/32,598.77
  6. Step 6: Final answer
    x = 15,614.14

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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.