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Finding the Fourth Proportional to 56,114.60, 77,438.06 and 30,964.08

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Solution

The fourth proportional to 56,114.60, 77,438.06 and 30,964.08 is: 42,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,114.60 : 77,438.06 = 30,964.08 : x
  2. Step 2: Convert to fraction form
    56,114.60/77,438.06 = 30,964.08/x
  3. Step 3: Cross multiply
    56,114.60x = 77,438.06 × 30,964.08
  4. Step 4: Simplify right side
    56,114.60x = 2,397,798,284.88
  5. Step 5: Solve for x
    x = 2,397,798,284.88/56,114.60
  6. Step 6: Final answer
    x = 42,730.38

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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.