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Finding the Fourth Proportional to 56,901.12, 78,537.60 and 34,563.84

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Solution

The fourth proportional to 56,901.12, 78,537.60 and 34,563.84 is: 47,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,901.12 : 78,537.60 = 34,563.84 : x
  2. Step 2: Convert to fraction form
    56,901.12/78,537.60 = 34,563.84/x
  3. Step 3: Cross multiply
    56,901.12x = 78,537.60 × 34,563.84
  4. Step 4: Simplify right side
    56,901.12x = 2,714,561,040.38
  5. Step 5: Solve for x
    x = 2,714,561,040.38/56,901.12
  6. Step 6: Final answer
    x = 47,706.64

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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.