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Finding the Fourth Proportional to 102,652.70, 153,964.65 and 32,539.10

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Solution

The fourth proportional to 102,652.70, 153,964.65 and 32,539.10 is: 48,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,652.70 : 153,964.65 = 32,539.10 : x
  2. Step 2: Convert to fraction form
    102,652.70/153,964.65 = 32,539.10/x
  3. Step 3: Cross multiply
    102,652.70x = 153,964.65 × 32,539.10
  4. Step 4: Simplify right side
    102,652.70x = 5,009,871,142.82
  5. Step 5: Solve for x
    x = 5,009,871,142.82/102,652.70
  6. Step 6: Final answer
    x = 48,804.09

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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.