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Finding the Fourth Proportional to 56,465.88, 77,926.14 and 34,117.08

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Solution

The fourth proportional to 56,465.88, 77,926.14 and 34,117.08 is: 47,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,465.88 : 77,926.14 = 34,117.08 : x
  2. Step 2: Convert to fraction form
    56,465.88/77,926.14 = 34,117.08/x
  3. Step 3: Cross multiply
    56,465.88x = 77,926.14 × 34,117.08
  4. Step 4: Simplify right side
    56,465.88x = 2,658,612,352.47
  5. Step 5: Solve for x
    x = 2,658,612,352.47/56,465.88
  6. Step 6: Final answer
    x = 47,083.52

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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.