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Finding the Fourth Proportional to 56,546, 78,034.50 and 31,054.76

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Solution

The fourth proportional to 56,546, 78,034.50 and 31,054.76 is: 42,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,546 : 78,034.50 = 31,054.76 : x
  2. Step 2: Convert to fraction form
    56,546/78,034.50 = 31,054.76/x
  3. Step 3: Cross multiply
    56,546x = 78,034.50 × 31,054.76
  4. Step 4: Simplify right side
    56,546x = 2,423,342,669.22
  5. Step 5: Solve for x
    x = 2,423,342,669.22/56,546
  6. Step 6: Final answer
    x = 42,856.13

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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.