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Finding the Fourth Proportional to 64,139.80, 96,015.30 and 46,643.80

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Solution

The fourth proportional to 64,139.80, 96,015.30 and 46,643.80 is: 69,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,139.80 : 96,015.30 = 46,643.80 : x
  2. Step 2: Convert to fraction form
    64,139.80/96,015.30 = 46,643.80/x
  3. Step 3: Cross multiply
    64,139.80x = 96,015.30 × 46,643.80
  4. Step 4: Simplify right side
    64,139.80x = 4,478,518,450.14
  5. Step 5: Solve for x
    x = 4,478,518,450.14/64,139.80
  6. Step 6: Final answer
    x = 69,824.33

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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.