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Finding the Fourth Proportional to 105,095.92, 157,592.04 and 38,485.84

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Solution

The fourth proportional to 105,095.92, 157,592.04 and 38,485.84 is: 57,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,095.92 : 157,592.04 = 38,485.84 : x
  2. Step 2: Convert to fraction form
    105,095.92/157,592.04 = 38,485.84/x
  3. Step 3: Cross multiply
    105,095.92x = 157,592.04 × 38,485.84
  4. Step 4: Simplify right side
    105,095.92x = 6,065,062,036.71
  5. Step 5: Solve for x
    x = 6,065,062,036.71/105,095.92
  6. Step 6: Final answer
    x = 57,709.78

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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.