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Finding the Fourth Proportional to 79,966, 110,362.80 and 46,432

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Solution

The fourth proportional to 79,966, 110,362.80 and 46,432 is: 64,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,966 : 110,362.80 = 46,432 : x
  2. Step 2: Convert to fraction form
    79,966/110,362.80 = 46,432/x
  3. Step 3: Cross multiply
    79,966x = 110,362.80 × 46,432
  4. Step 4: Simplify right side
    79,966x = 5,124,365,529.60
  5. Step 5: Solve for x
    x = 5,124,365,529.60/79,966
  6. Step 6: Final answer
    x = 64,081.80

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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.