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Finding the Fourth Proportional to 53,145.95, 73,341.32 and 29,274.23

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Solution

The fourth proportional to 53,145.95, 73,341.32 and 29,274.23 is: 40,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,145.95 : 73,341.32 = 29,274.23 : x
  2. Step 2: Convert to fraction form
    53,145.95/73,341.32 = 29,274.23/x
  3. Step 3: Cross multiply
    53,145.95x = 73,341.32 × 29,274.23
  4. Step 4: Simplify right side
    53,145.95x = 2,147,010,707.17
  5. Step 5: Solve for x
    x = 2,147,010,707.17/53,145.95
  6. Step 6: Final answer
    x = 40,398.39

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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.