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Finding the Fourth Proportional to 96,188.16, 132,745.77 and 53,746.77

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Solution

The fourth proportional to 96,188.16, 132,745.77 and 53,746.77 is: 74,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,188.16 : 132,745.77 = 53,746.77 : x
  2. Step 2: Convert to fraction form
    96,188.16/132,745.77 = 53,746.77/x
  3. Step 3: Cross multiply
    96,188.16x = 132,745.77 × 53,746.77
  4. Step 4: Simplify right side
    96,188.16x = 7,134,656,368.66
  5. Step 5: Solve for x
    x = 7,134,656,368.66/96,188.16
  6. Step 6: Final answer
    x = 74,173.96

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1.5x scale

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.