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Finding the Fourth Proportional to 70,855.04, 97,784.38 and 39,023.93

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Solution

The fourth proportional to 70,855.04, 97,784.38 and 39,023.93 is: 53,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,855.04 : 97,784.38 = 39,023.93 : x
  2. Step 2: Convert to fraction form
    70,855.04/97,784.38 = 39,023.93/x
  3. Step 3: Cross multiply
    70,855.04x = 97,784.38 × 39,023.93
  4. Step 4: Simplify right side
    70,855.04x = 3,815,930,800.21
  5. Step 5: Solve for x
    x = 3,815,930,800.21/70,855.04
  6. Step 6: Final answer
    x = 53,855.46

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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.