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Finding the Fourth Proportional to 77,000.64, 106,259.74 and 43,009.60

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Solution

The fourth proportional to 77,000.64, 106,259.74 and 43,009.60 is: 59,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,000.64 : 106,259.74 = 43,009.60 : x
  2. Step 2: Convert to fraction form
    77,000.64/106,259.74 = 43,009.60/x
  3. Step 3: Cross multiply
    77,000.64x = 106,259.74 × 43,009.60
  4. Step 4: Simplify right side
    77,000.64x = 4,570,188,382.21
  5. Step 5: Solve for x
    x = 4,570,188,382.21/77,000.64
  6. Step 6: Final answer
    x = 59,352.61

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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.