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Finding the Fourth Proportional to 53,466.48, 73,619.06 and 47,487.77

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Solution

The fourth proportional to 53,466.48, 73,619.06 and 47,487.77 is: 65,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,466.48 : 73,619.06 = 47,487.77 : x
  2. Step 2: Convert to fraction form
    53,466.48/73,619.06 = 47,487.77/x
  3. Step 3: Cross multiply
    53,466.48x = 73,619.06 × 47,487.77
  4. Step 4: Simplify right side
    53,466.48x = 3,496,004,383.36
  5. Step 5: Solve for x
    x = 3,496,004,383.36/53,466.48
  6. Step 6: Final answer
    x = 65,386.84

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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.