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Finding the Fourth Proportional to 86,533.32, 119,411.10 and 48,805.32

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Solution

The fourth proportional to 86,533.32, 119,411.10 and 48,805.32 is: 67,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,533.32 : 119,411.10 = 48,805.32 : x
  2. Step 2: Convert to fraction form
    86,533.32/119,411.10 = 48,805.32/x
  3. Step 3: Cross multiply
    86,533.32x = 119,411.10 × 48,805.32
  4. Step 4: Simplify right side
    86,533.32x = 5,827,896,947.05
  5. Step 5: Solve for x
    x = 5,827,896,947.05/86,533.32
  6. Step 6: Final answer
    x = 67,348.59

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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.