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Finding the Fourth Proportional to 103,070.93, 154,628.46 and 31,992.08

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Solution

The fourth proportional to 103,070.93, 154,628.46 and 31,992.08 is: 47,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,070.93 : 154,628.46 = 31,992.08 : x
  2. Step 2: Convert to fraction form
    103,070.93/154,628.46 = 31,992.08/x
  3. Step 3: Cross multiply
    103,070.93x = 154,628.46 × 31,992.08
  4. Step 4: Simplify right side
    103,070.93x = 4,946,885,289.45
  5. Step 5: Solve for x
    x = 4,946,885,289.45/103,070.93
  6. Step 6: Final answer
    x = 47,994.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.