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Finding the Fourth Proportional to 53,283.86, 73,534.17 and 30,630.20

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Solution

The fourth proportional to 53,283.86, 73,534.17 and 30,630.20 is: 42,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,283.86 : 73,534.17 = 30,630.20 : x
  2. Step 2: Convert to fraction form
    53,283.86/73,534.17 = 30,630.20/x
  3. Step 3: Cross multiply
    53,283.86x = 73,534.17 × 30,630.20
  4. Step 4: Simplify right side
    53,283.86x = 2,252,366,333.93
  5. Step 5: Solve for x
    x = 2,252,366,333.93/53,283.86
  6. Step 6: Final answer
    x = 42,271.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.