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Finding the Fourth Proportional to 70,954.86, 97,836.75 and 53,019.66

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Solution

The fourth proportional to 70,954.86, 97,836.75 and 53,019.66 is: 73,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,954.86 : 97,836.75 = 53,019.66 : x
  2. Step 2: Convert to fraction form
    70,954.86/97,836.75 = 53,019.66/x
  3. Step 3: Cross multiply
    70,954.86x = 97,836.75 × 53,019.66
  4. Step 4: Simplify right side
    70,954.86x = 5,187,271,220.51
  5. Step 5: Solve for x
    x = 5,187,271,220.51/70,954.86
  6. Step 6: Final answer
    x = 73,106.64

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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.