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Finding the Fourth Proportional to 105,016, 157,596.96 and 42,686.56

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Solution

The fourth proportional to 105,016, 157,596.96 and 42,686.56 is: 64,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,016 : 157,596.96 = 42,686.56 : x
  2. Step 2: Convert to fraction form
    105,016/157,596.96 = 42,686.56/x
  3. Step 3: Cross multiply
    105,016x = 157,596.96 × 42,686.56
  4. Step 4: Simplify right side
    105,016x = 6,727,272,088.86
  5. Step 5: Solve for x
    x = 6,727,272,088.86/105,016
  6. Step 6: Final answer
    x = 64,059.50

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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.