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Finding the Fourth Proportional to 32,585.34, 48,885.30 and 10,399.98

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Solution

The fourth proportional to 32,585.34, 48,885.30 and 10,399.98 is: 15,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585.34 : 48,885.30 = 10,399.98 : x
  2. Step 2: Convert to fraction form
    32,585.34/48,885.30 = 10,399.98/x
  3. Step 3: Cross multiply
    32,585.34x = 48,885.30 × 10,399.98
  4. Step 4: Simplify right side
    32,585.34x = 508,406,142.29
  5. Step 5: Solve for x
    x = 508,406,142.29/32,585.34
  6. Step 6: Final answer
    x = 15,602.30

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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.