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Finding the Fourth Proportional to 53,485.34, 73,810.54 and 29,612

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Solution

The fourth proportional to 53,485.34, 73,810.54 and 29,612 is: 40,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,485.34 : 73,810.54 = 29,612 : x
  2. Step 2: Convert to fraction form
    53,485.34/73,810.54 = 29,612/x
  3. Step 3: Cross multiply
    53,485.34x = 73,810.54 × 29,612
  4. Step 4: Simplify right side
    53,485.34x = 2,185,677,710.48
  5. Step 5: Solve for x
    x = 2,185,677,710.48/53,485.34
  6. Step 6: Final answer
    x = 40,864.99

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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.