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Finding the Fourth Proportional to 86,412, 119,248.56 and 46,668

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Solution

The fourth proportional to 86,412, 119,248.56 and 46,668 is: 64,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,412 : 119,248.56 = 46,668 : x
  2. Step 2: Convert to fraction form
    86,412/119,248.56 = 46,668/x
  3. Step 3: Cross multiply
    86,412x = 119,248.56 × 46,668
  4. Step 4: Simplify right side
    86,412x = 5,565,091,798.08
  5. Step 5: Solve for x
    x = 5,565,091,798.08/86,412
  6. Step 6: Final answer
    x = 64,401.84

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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.