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Finding the Fourth Proportional to 86,807.70, 119,784.22 and 48,569.32

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Solution

The fourth proportional to 86,807.70, 119,784.22 and 48,569.32 is: 67,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,807.70 : 119,784.22 = 48,569.32 : x
  2. Step 2: Convert to fraction form
    86,807.70/119,784.22 = 48,569.32/x
  3. Step 3: Cross multiply
    86,807.70x = 119,784.22 × 48,569.32
  4. Step 4: Simplify right side
    86,807.70x = 5,817,838,140.44
  5. Step 5: Solve for x
    x = 5,817,838,140.44/86,807.70
  6. Step 6: Final answer
    x = 67,019.84

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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.