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Finding the Fourth Proportional to 32,907.84, 49,360.32 and 9,533.76

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Solution

The fourth proportional to 32,907.84, 49,360.32 and 9,533.76 is: 14,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907.84 : 49,360.32 = 9,533.76 : x
  2. Step 2: Convert to fraction form
    32,907.84/49,360.32 = 9,533.76/x
  3. Step 3: Cross multiply
    32,907.84x = 49,360.32 × 9,533.76
  4. Step 4: Simplify right side
    32,907.84x = 470,589,444.40
  5. Step 5: Solve for x
    x = 470,589,444.40/32,907.84
  6. Step 6: Final answer
    x = 14,300.22

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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.