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Finding the Fourth Proportional to 32,889.76, 49,339.50 and 9,513.16

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Solution

The fourth proportional to 32,889.76, 49,339.50 and 9,513.16 is: 14,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,889.76 : 49,339.50 = 9,513.16 : x
  2. Step 2: Convert to fraction form
    32,889.76/49,339.50 = 9,513.16/x
  3. Step 3: Cross multiply
    32,889.76x = 49,339.50 × 9,513.16
  4. Step 4: Simplify right side
    32,889.76x = 469,374,557.82
  5. Step 5: Solve for x
    x = 469,374,557.82/32,889.76
  6. Step 6: Final answer
    x = 14,271.15

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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.