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Finding the Fourth Proportional to 35,473.95, 53,054.10 and 31,552.74

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Solution

The fourth proportional to 35,473.95, 53,054.10 and 31,552.74 is: 47,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,473.95 : 53,054.10 = 31,552.74 : x
  2. Step 2: Convert to fraction form
    35,473.95/53,054.10 = 31,552.74/x
  3. Step 3: Cross multiply
    35,473.95x = 53,054.10 × 31,552.74
  4. Step 4: Simplify right side
    35,473.95x = 1,674,002,223.23
  5. Step 5: Solve for x
    x = 1,674,002,223.23/35,473.95
  6. Step 6: Final answer
    x = 47,189.62

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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.