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Finding the Fourth Proportional to 105,043.92, 157,666.32 and 38,548.32

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Solution

The fourth proportional to 105,043.92, 157,666.32 and 38,548.32 is: 57,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,043.92 : 157,666.32 = 38,548.32 : x
  2. Step 2: Convert to fraction form
    105,043.92/157,666.32 = 38,548.32/x
  3. Step 3: Cross multiply
    105,043.92x = 157,666.32 × 38,548.32
  4. Step 4: Simplify right side
    105,043.92x = 6,077,771,756.58
  5. Step 5: Solve for x
    x = 6,077,771,756.58/105,043.92
  6. Step 6: Final answer
    x = 57,859.34

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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.