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Finding the Fourth Proportional to 32,928.76, 49,394.76 and 9,557.02

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Solution

The fourth proportional to 32,928.76, 49,394.76 and 9,557.02 is: 14,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928.76 : 49,394.76 = 9,557.02 : x
  2. Step 2: Convert to fraction form
    32,928.76/49,394.76 = 9,557.02/x
  3. Step 3: Cross multiply
    32,928.76x = 49,394.76 × 9,557.02
  4. Step 4: Simplify right side
    32,928.76x = 472,066,709.22
  5. Step 5: Solve for x
    x = 472,066,709.22/32,928.76
  6. Step 6: Final answer
    x = 14,336.00

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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.