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Finding the Fourth Proportional to 53,341.49, 73,613.37 and 30,680.46

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Solution

The fourth proportional to 53,341.49, 73,613.37 and 30,680.46 is: 42,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,341.49 : 73,613.37 = 30,680.46 : x
  2. Step 2: Convert to fraction form
    53,341.49/73,613.37 = 30,680.46/x
  3. Step 3: Cross multiply
    53,341.49x = 73,613.37 × 30,680.46
  4. Step 4: Simplify right side
    53,341.49x = 2,258,492,053.75
  5. Step 5: Solve for x
    x = 2,258,492,053.75/53,341.49
  6. Step 6: Final answer
    x = 42,340.25

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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.