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Finding the Fourth Proportional to 86,524, 119,403.12 and 46,780

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Solution

The fourth proportional to 86,524, 119,403.12 and 46,780 is: 64,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,524 : 119,403.12 = 46,780 : x
  2. Step 2: Convert to fraction form
    86,524/119,403.12 = 46,780/x
  3. Step 3: Cross multiply
    86,524x = 119,403.12 × 46,780
  4. Step 4: Simplify right side
    86,524x = 5,585,677,953.60
  5. Step 5: Solve for x
    x = 5,585,677,953.60/86,524
  6. Step 6: Final answer
    x = 64,556.40

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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.