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Finding the Fourth Proportional to 56,106.99, 77,420.70 and 34,314.22

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Solution

The fourth proportional to 56,106.99, 77,420.70 and 34,314.22 is: 47,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,106.99 : 77,420.70 = 34,314.22 : x
  2. Step 2: Convert to fraction form
    56,106.99/77,420.70 = 34,314.22/x
  3. Step 3: Cross multiply
    56,106.99x = 77,420.70 × 34,314.22
  4. Step 4: Simplify right side
    56,106.99x = 2,656,630,932.35
  5. Step 5: Solve for x
    x = 2,656,630,932.35/56,106.99
  6. Step 6: Final answer
    x = 47,349.38

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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.