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Finding the Fourth Proportional to 32,497.94, 48,752.98 and 10,305.36

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Solution

The fourth proportional to 32,497.94, 48,752.98 and 10,305.36 is: 15,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.94 : 48,752.98 = 10,305.36 : x
  2. Step 2: Convert to fraction form
    32,497.94/48,752.98 = 10,305.36/x
  3. Step 3: Cross multiply
    32,497.94x = 48,752.98 × 10,305.36
  4. Step 4: Simplify right side
    32,497.94x = 502,417,009.97
  5. Step 5: Solve for x
    x = 502,417,009.97/32,497.94
  6. Step 6: Final answer
    x = 15,459.96

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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.