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Finding the Fourth Proportional to 32,738.96, 49,112.12 and 10,547.28

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Solution

The fourth proportional to 32,738.96, 49,112.12 and 10,547.28 is: 15,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,738.96 : 49,112.12 = 10,547.28 : x
  2. Step 2: Convert to fraction form
    32,738.96/49,112.12 = 10,547.28/x
  3. Step 3: Cross multiply
    32,738.96x = 49,112.12 × 10,547.28
  4. Step 4: Simplify right side
    32,738.96x = 517,999,281.03
  5. Step 5: Solve for x
    x = 517,999,281.03/32,738.96
  6. Step 6: Final answer
    x = 15,822.11

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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.