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Finding the Fourth Proportional to 86,444, 119,292.72 and 46,700

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Solution

The fourth proportional to 86,444, 119,292.72 and 46,700 is: 64,446

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,444 : 119,292.72 = 46,700 : x
  2. Step 2: Convert to fraction form
    86,444/119,292.72 = 46,700/x
  3. Step 3: Cross multiply
    86,444x = 119,292.72 × 46,700
  4. Step 4: Simplify right side
    86,444x = 5,570,970,024
  5. Step 5: Solve for x
    x = 5,570,970,024/86,444
  6. Step 6: Final answer
    x = 64,446

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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.