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Finding the Fourth Proportional to 78,305.65, 108,061.86 and 42,495.65

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Solution

The fourth proportional to 78,305.65, 108,061.86 and 42,495.65 is: 58,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,305.65 : 108,061.86 = 42,495.65 : x
  2. Step 2: Convert to fraction form
    78,305.65/108,061.86 = 42,495.65/x
  3. Step 3: Cross multiply
    78,305.65x = 108,061.86 × 42,495.65
  4. Step 4: Simplify right side
    78,305.65x = 4,592,158,980.91
  5. Step 5: Solve for x
    x = 4,592,158,980.91/78,305.65
  6. Step 6: Final answer
    x = 58,644.03

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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.