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Finding the Fourth Proportional to 53,482.80, 73,803.38 and 31,973.05

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Solution

The fourth proportional to 53,482.80, 73,803.38 and 31,973.05 is: 44,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,482.80 : 73,803.38 = 31,973.05 : x
  2. Step 2: Convert to fraction form
    53,482.80/73,803.38 = 31,973.05/x
  3. Step 3: Cross multiply
    53,482.80x = 73,803.38 × 31,973.05
  4. Step 4: Simplify right side
    53,482.80x = 2,359,719,158.91
  5. Step 5: Solve for x
    x = 2,359,719,158.91/53,482.80
  6. Step 6: Final answer
    x = 44,121.08

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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.