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Finding the Fourth Proportional to 67,840.48, 101,739.99 and 46,915

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Solution

The fourth proportional to 67,840.48, 101,739.99 and 46,915 is: 70,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,840.48 : 101,739.99 = 46,915 : x
  2. Step 2: Convert to fraction form
    67,840.48/101,739.99 = 46,915/x
  3. Step 3: Cross multiply
    67,840.48x = 101,739.99 × 46,915
  4. Step 4: Simplify right side
    67,840.48x = 4,773,131,630.85
  5. Step 5: Solve for x
    x = 4,773,131,630.85/67,840.48
  6. Step 6: Final answer
    x = 70,358.16

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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.