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Finding the Fourth Proportional to 70,302.94, 97,019.73 and 40,091.15

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Solution

The fourth proportional to 70,302.94, 97,019.73 and 40,091.15 is: 55,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,302.94 : 97,019.73 = 40,091.15 : x
  2. Step 2: Convert to fraction form
    70,302.94/97,019.73 = 40,091.15/x
  3. Step 3: Cross multiply
    70,302.94x = 97,019.73 × 40,091.15
  4. Step 4: Simplify right side
    70,302.94x = 3,889,632,347.93
  5. Step 5: Solve for x
    x = 3,889,632,347.93/70,302.94
  6. Step 6: Final answer
    x = 55,326.74

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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.