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Finding the Fourth Proportional to 78,285.83, 108,039.78 and 44,294.31

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Solution

The fourth proportional to 78,285.83, 108,039.78 and 44,294.31 is: 61,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,285.83 : 108,039.78 = 44,294.31 : x
  2. Step 2: Convert to fraction form
    78,285.83/108,039.78 = 44,294.31/x
  3. Step 3: Cross multiply
    78,285.83x = 108,039.78 × 44,294.31
  4. Step 4: Simplify right side
    78,285.83x = 4,785,547,507.65
  5. Step 5: Solve for x
    x = 4,785,547,507.65/78,285.83
  6. Step 6: Final answer
    x = 61,129.17

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1.5x scale

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.