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Finding the Fourth Proportional to 53,300.16, 73,559.04 and 32,076

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Solution

The fourth proportional to 53,300.16, 73,559.04 and 32,076 is: 44,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,300.16 : 73,559.04 = 32,076 : x
  2. Step 2: Convert to fraction form
    53,300.16/73,559.04 = 32,076/x
  3. Step 3: Cross multiply
    53,300.16x = 73,559.04 × 32,076
  4. Step 4: Simplify right side
    53,300.16x = 2,359,479,767.04
  5. Step 5: Solve for x
    x = 2,359,479,767.04/53,300.16
  6. Step 6: Final answer
    x = 44,267.78

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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.