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Finding the Fourth Proportional to 53,417.81, 73,710.20 and 29,541.24

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Solution

The fourth proportional to 53,417.81, 73,710.20 and 29,541.24 is: 40,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,417.81 : 73,710.20 = 29,541.24 : x
  2. Step 2: Convert to fraction form
    53,417.81/73,710.20 = 29,541.24/x
  3. Step 3: Cross multiply
    53,417.81x = 73,710.20 × 29,541.24
  4. Step 4: Simplify right side
    53,417.81x = 2,177,490,782.50
  5. Step 5: Solve for x
    x = 2,177,490,782.50/53,417.81
  6. Step 6: Final answer
    x = 40,763.38

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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.