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Finding the Fourth Proportional to 48,106.86, 66,389.54 and 27,411

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Solution

The fourth proportional to 48,106.86, 66,389.54 and 27,411 is: 37,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,106.86 : 66,389.54 = 27,411 : x
  2. Step 2: Convert to fraction form
    48,106.86/66,389.54 = 27,411/x
  3. Step 3: Cross multiply
    48,106.86x = 66,389.54 × 27,411
  4. Step 4: Simplify right side
    48,106.86x = 1,819,803,680.94
  5. Step 5: Solve for x
    x = 1,819,803,680.94/48,106.86
  6. Step 6: Final answer
    x = 37,828.36

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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.