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Finding the Fourth Proportional to 90,650.16, 136,043.32 and 46,314

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Solution

The fourth proportional to 90,650.16, 136,043.32 and 46,314 is: 69,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,650.16 : 136,043.32 = 46,314 : x
  2. Step 2: Convert to fraction form
    90,650.16/136,043.32 = 46,314/x
  3. Step 3: Cross multiply
    90,650.16x = 136,043.32 × 46,314
  4. Step 4: Simplify right side
    90,650.16x = 6,300,710,322.48
  5. Step 5: Solve for x
    x = 6,300,710,322.48/90,650.16
  6. Step 6: Final answer
    x = 69,505.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.