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Finding the Fourth Proportional to 88,050.38, 121,509.12 and 47,764.16

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Solution

The fourth proportional to 88,050.38, 121,509.12 and 47,764.16 is: 65,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,050.38 : 121,509.12 = 47,764.16 : x
  2. Step 2: Convert to fraction form
    88,050.38/121,509.12 = 47,764.16/x
  3. Step 3: Cross multiply
    88,050.38x = 121,509.12 × 47,764.16
  4. Step 4: Simplify right side
    88,050.38x = 5,803,780,441.59
  5. Step 5: Solve for x
    x = 5,803,780,441.59/88,050.38
  6. Step 6: Final answer
    x = 65,914.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.