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Finding the Fourth Proportional to 106,478.24, 146,928.30 and 58,728.56

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Solution

The fourth proportional to 106,478.24, 146,928.30 and 58,728.56 is: 81,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478.24 : 146,928.30 = 58,728.56 : x
  2. Step 2: Convert to fraction form
    106,478.24/146,928.30 = 58,728.56/x
  3. Step 3: Cross multiply
    106,478.24x = 146,928.30 × 58,728.56
  4. Step 4: Simplify right side
    106,478.24x = 8,628,887,482.25
  5. Step 5: Solve for x
    x = 8,628,887,482.25/106,478.24
  6. Step 6: Final answer
    x = 81,038.98

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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.