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Finding the Fourth Proportional to 32,580.98, 48,875.35 and 11,516.68

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Solution

The fourth proportional to 32,580.98, 48,875.35 and 11,516.68 is: 17,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580.98 : 48,875.35 = 11,516.68 : x
  2. Step 2: Convert to fraction form
    32,580.98/48,875.35 = 11,516.68/x
  3. Step 3: Cross multiply
    32,580.98x = 48,875.35 × 11,516.68
  4. Step 4: Simplify right side
    32,580.98x = 562,881,819.73
  5. Step 5: Solve for x
    x = 562,881,819.73/32,580.98
  6. Step 6: Final answer
    x = 17,276.39

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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.