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Finding the Fourth Proportional to 32,802.32, 49,204.56 and 10,615.88

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Solution

The fourth proportional to 32,802.32, 49,204.56 and 10,615.88 is: 15,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802.32 : 49,204.56 = 10,615.88 : x
  2. Step 2: Convert to fraction form
    32,802.32/49,204.56 = 10,615.88/x
  3. Step 3: Cross multiply
    32,802.32x = 49,204.56 × 10,615.88
  4. Step 4: Simplify right side
    32,802.32x = 522,349,458.39
  5. Step 5: Solve for x
    x = 522,349,458.39/32,802.32
  6. Step 6: Final answer
    x = 15,924.16

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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.