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Finding the Fourth Proportional to 86,470, 119,328.60 and 46,726

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Solution

The fourth proportional to 86,470, 119,328.60 and 46,726 is: 64,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,470 : 119,328.60 = 46,726 : x
  2. Step 2: Convert to fraction form
    86,470/119,328.60 = 46,726/x
  3. Step 3: Cross multiply
    86,470x = 119,328.60 × 46,726
  4. Step 4: Simplify right side
    86,470x = 5,575,748,163.60
  5. Step 5: Solve for x
    x = 5,575,748,163.60/86,470
  6. Step 6: Final answer
    x = 64,481.88

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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.