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Finding the Fourth Proportional to 56,462.88, 77,922 and 34,114.08

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Solution

The fourth proportional to 56,462.88, 77,922 and 34,114.08 is: 47,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,462.88 : 77,922 = 34,114.08 : x
  2. Step 2: Convert to fraction form
    56,462.88/77,922 = 34,114.08/x
  3. Step 3: Cross multiply
    56,462.88x = 77,922 × 34,114.08
  4. Step 4: Simplify right side
    56,462.88x = 2,658,237,341.76
  5. Step 5: Solve for x
    x = 2,658,237,341.76/56,462.88
  6. Step 6: Final answer
    x = 47,079.38

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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.