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Finding the Fourth Proportional to 105,092.81, 157,634.80 and 48,913.60

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Solution

The fourth proportional to 105,092.81, 157,634.80 and 48,913.60 is: 73,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,092.81 : 157,634.80 = 48,913.60 : x
  2. Step 2: Convert to fraction form
    105,092.81/157,634.80 = 48,913.60/x
  3. Step 3: Cross multiply
    105,092.81x = 157,634.80 × 48,913.60
  4. Step 4: Simplify right side
    105,092.81x = 7,710,485,553.28
  5. Step 5: Solve for x
    x = 7,710,485,553.28/105,092.81
  6. Step 6: Final answer
    x = 73,368.35

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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.