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Finding the Fourth Proportional to 56,346.48, 77,675.34 and 42,894.30

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Solution

The fourth proportional to 56,346.48, 77,675.34 and 42,894.30 is: 59,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,346.48 : 77,675.34 = 42,894.30 : x
  2. Step 2: Convert to fraction form
    56,346.48/77,675.34 = 42,894.30/x
  3. Step 3: Cross multiply
    56,346.48x = 77,675.34 × 42,894.30
  4. Step 4: Simplify right side
    56,346.48x = 3,331,829,336.56
  5. Step 5: Solve for x
    x = 3,331,829,336.56/56,346.48
  6. Step 6: Final answer
    x = 59,131.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.