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Finding the Fourth Proportional to 64,840.74, 97,261.10 and 50,071.20

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Solution

The fourth proportional to 64,840.74, 97,261.10 and 50,071.20 is: 75,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,840.74 : 97,261.10 = 50,071.20 : x
  2. Step 2: Convert to fraction form
    64,840.74/97,261.10 = 50,071.20/x
  3. Step 3: Cross multiply
    64,840.74x = 97,261.10 × 50,071.20
  4. Step 4: Simplify right side
    64,840.74x = 4,869,979,990.32
  5. Step 5: Solve for x
    x = 4,869,979,990.32/64,840.74
  6. Step 6: Final answer
    x = 75,106.79

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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.