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Finding the Fourth Proportional to 32,534.76, 48,803.22 and 9,160.50

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Solution

The fourth proportional to 32,534.76, 48,803.22 and 9,160.50 is: 13,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,534.76 : 48,803.22 = 9,160.50 : x
  2. Step 2: Convert to fraction form
    32,534.76/48,803.22 = 9,160.50/x
  3. Step 3: Cross multiply
    32,534.76x = 48,803.22 × 9,160.50
  4. Step 4: Simplify right side
    32,534.76x = 447,061,896.81
  5. Step 5: Solve for x
    x = 447,061,896.81/32,534.76
  6. Step 6: Final answer
    x = 13,741.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.