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Finding the Fourth Proportional to 105,107.28, 157,656.48 and 48,928.08

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Solution

The fourth proportional to 105,107.28, 157,656.48 and 48,928.08 is: 73,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.28 : 157,656.48 = 48,928.08 : x
  2. Step 2: Convert to fraction form
    105,107.28/157,656.48 = 48,928.08/x
  3. Step 3: Cross multiply
    105,107.28x = 157,656.48 × 48,928.08
  4. Step 4: Simplify right side
    105,107.28x = 7,713,828,865.96
  5. Step 5: Solve for x
    x = 7,713,828,865.96/105,107.28
  6. Step 6: Final answer
    x = 73,390.05

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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.