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Finding the Fourth Proportional to 104,693.64, 144,475.74 and 56,947.32

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Solution

The fourth proportional to 104,693.64, 144,475.74 and 56,947.32 is: 78,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,693.64 : 144,475.74 = 56,947.32 : x
  2. Step 2: Convert to fraction form
    104,693.64/144,475.74 = 56,947.32/x
  3. Step 3: Cross multiply
    104,693.64x = 144,475.74 × 56,947.32
  4. Step 4: Simplify right side
    104,693.64x = 8,227,506,198.02
  5. Step 5: Solve for x
    x = 8,227,506,198.02/104,693.64
  6. Step 6: Final answer
    x = 78,586.49

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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.