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Finding the Fourth Proportional to 32,513.76, 48,776.76 and 10,328.76

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Solution

The fourth proportional to 32,513.76, 48,776.76 and 10,328.76 is: 15,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.76 : 48,776.76 = 10,328.76 : x
  2. Step 2: Convert to fraction form
    32,513.76/48,776.76 = 10,328.76/x
  3. Step 3: Cross multiply
    32,513.76x = 48,776.76 × 10,328.76
  4. Step 4: Simplify right side
    32,513.76x = 503,803,447.62
  5. Step 5: Solve for x
    x = 503,803,447.62/32,513.76
  6. Step 6: Final answer
    x = 15,495.08

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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.