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Finding the Fourth Proportional to 78,605.75, 108,475.75 and 42,796.01

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Solution

The fourth proportional to 78,605.75, 108,475.75 and 42,796.01 is: 59,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,605.75 : 108,475.75 = 42,796.01 : x
  2. Step 2: Convert to fraction form
    78,605.75/108,475.75 = 42,796.01/x
  3. Step 3: Cross multiply
    78,605.75x = 108,475.75 × 42,796.01
  4. Step 4: Simplify right side
    78,605.75x = 4,642,329,281.76
  5. Step 5: Solve for x
    x = 4,642,329,281.76/78,605.75
  6. Step 6: Final answer
    x = 59,058.39

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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.