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Finding the Fourth Proportional to 101,652.84, 152,275.14 and 48,905.64

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Solution

The fourth proportional to 101,652.84, 152,275.14 and 48,905.64 is: 73,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,652.84 : 152,275.14 = 48,905.64 : x
  2. Step 2: Convert to fraction form
    101,652.84/152,275.14 = 48,905.64/x
  3. Step 3: Cross multiply
    101,652.84x = 152,275.14 × 48,905.64
  4. Step 4: Simplify right side
    101,652.84x = 7,447,113,177.79
  5. Step 5: Solve for x
    x = 7,447,113,177.79/101,652.84
  6. Step 6: Final answer
    x = 73,260.26

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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.