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Finding the Fourth Proportional to 80,346.16, 110,885.52 and 46,810

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Solution

The fourth proportional to 80,346.16, 110,885.52 and 46,810 is: 64,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,346.16 : 110,885.52 = 46,810 : x
  2. Step 2: Convert to fraction form
    80,346.16/110,885.52 = 46,810/x
  3. Step 3: Cross multiply
    80,346.16x = 110,885.52 × 46,810
  4. Step 4: Simplify right side
    80,346.16x = 5,190,551,191.20
  5. Step 5: Solve for x
    x = 5,190,551,191.20/80,346.16
  6. Step 6: Final answer
    x = 64,602.36

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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.