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Finding the Fourth Proportional to 56,802.40, 85,203.60 and 31,919.20

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Solution

The fourth proportional to 56,802.40, 85,203.60 and 31,919.20 is: 47,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,802.40 : 85,203.60 = 31,919.20 : x
  2. Step 2: Convert to fraction form
    56,802.40/85,203.60 = 31,919.20/x
  3. Step 3: Cross multiply
    56,802.40x = 85,203.60 × 31,919.20
  4. Step 4: Simplify right side
    56,802.40x = 2,719,630,749.12
  5. Step 5: Solve for x
    x = 2,719,630,749.12/56,802.40
  6. Step 6: Final answer
    x = 47,878.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.