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Finding the Fourth Proportional to 107,915.10, 161,824.05 and 48,720.30

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Solution

The fourth proportional to 107,915.10, 161,824.05 and 48,720.30 is: 73,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,915.10 : 161,824.05 = 48,720.30 : x
  2. Step 2: Convert to fraction form
    107,915.10/161,824.05 = 48,720.30/x
  3. Step 3: Cross multiply
    107,915.10x = 161,824.05 × 48,720.30
  4. Step 4: Simplify right side
    107,915.10x = 7,884,116,263.22
  5. Step 5: Solve for x
    x = 7,884,116,263.22/107,915.10
  6. Step 6: Final answer
    x = 73,058.51

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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.