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Finding the Fourth Proportional to 86,728, 119,684.80 and 46,984

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Solution

The fourth proportional to 86,728, 119,684.80 and 46,984 is: 64,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,728 : 119,684.80 = 46,984 : x
  2. Step 2: Convert to fraction form
    86,728/119,684.80 = 46,984/x
  3. Step 3: Cross multiply
    86,728x = 119,684.80 × 46,984
  4. Step 4: Simplify right side
    86,728x = 5,623,270,643.20
  5. Step 5: Solve for x
    x = 5,623,270,643.20/86,728
  6. Step 6: Final answer
    x = 64,838.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.