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Finding the Fourth Proportional to 53,713.16, 80,501.58 and 30,352.68

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Solution

The fourth proportional to 53,713.16, 80,501.58 and 30,352.68 is: 45,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,713.16 : 80,501.58 = 30,352.68 : x
  2. Step 2: Convert to fraction form
    53,713.16/80,501.58 = 30,352.68/x
  3. Step 3: Cross multiply
    53,713.16x = 80,501.58 × 30,352.68
  4. Step 4: Simplify right side
    53,713.16x = 2,443,438,697.23
  5. Step 5: Solve for x
    x = 2,443,438,697.23/53,713.16
  6. Step 6: Final answer
    x = 45,490.50

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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.