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Finding the Fourth Proportional to 76,989.61, 106,278.06 and 46,784.64

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Solution

The fourth proportional to 76,989.61, 106,278.06 and 46,784.64 is: 64,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,989.61 : 106,278.06 = 46,784.64 : x
  2. Step 2: Convert to fraction form
    76,989.61/106,278.06 = 46,784.64/x
  3. Step 3: Cross multiply
    76,989.61x = 106,278.06 × 46,784.64
  4. Step 4: Simplify right side
    76,989.61x = 4,972,180,687.38
  5. Step 5: Solve for x
    x = 4,972,180,687.38/76,989.61
  6. Step 6: Final answer
    x = 64,582.49

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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.