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Finding the Fourth Proportional to 53,978.66, 74,466.47 and 31,304.51

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Solution

The fourth proportional to 53,978.66, 74,466.47 and 31,304.51 is: 43,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.66 : 74,466.47 = 31,304.51 : x
  2. Step 2: Convert to fraction form
    53,978.66/74,466.47 = 31,304.51/x
  3. Step 3: Cross multiply
    53,978.66x = 74,466.47 × 31,304.51
  4. Step 4: Simplify right side
    53,978.66x = 2,331,136,339.96
  5. Step 5: Solve for x
    x = 2,331,136,339.96/53,978.66
  6. Step 6: Final answer
    x = 43,186.26

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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.