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Finding the Fourth Proportional to 94,493.36, 130,389.92 and 54,196

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Solution

The fourth proportional to 94,493.36, 130,389.92 and 54,196 is: 74,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,493.36 : 130,389.92 = 54,196 : x
  2. Step 2: Convert to fraction form
    94,493.36/130,389.92 = 54,196/x
  3. Step 3: Cross multiply
    94,493.36x = 130,389.92 × 54,196
  4. Step 4: Simplify right side
    94,493.36x = 7,066,612,104.32
  5. Step 5: Solve for x
    x = 7,066,612,104.32/94,493.36
  6. Step 6: Final answer
    x = 74,784.22

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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.