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Finding the Fourth Proportional to 77,000.67, 106,259.81 and 43,009.64

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Solution

The fourth proportional to 77,000.67, 106,259.81 and 43,009.64 is: 59,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,000.67 : 106,259.81 = 43,009.64 : x
  2. Step 2: Convert to fraction form
    77,000.67/106,259.81 = 43,009.64/x
  3. Step 3: Cross multiply
    77,000.67x = 106,259.81 × 43,009.64
  4. Step 4: Simplify right side
    77,000.67x = 4,570,195,959.52
  5. Step 5: Solve for x
    x = 4,570,195,959.52/77,000.67
  6. Step 6: Final answer
    x = 59,352.68

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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.