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Finding the Fourth Proportional to 40,900.51, 56,423.76 and 23,905.47

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Solution

The fourth proportional to 40,900.51, 56,423.76 and 23,905.47 is: 32,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,900.51 : 56,423.76 = 23,905.47 : x
  2. Step 2: Convert to fraction form
    40,900.51/56,423.76 = 23,905.47/x
  3. Step 3: Cross multiply
    40,900.51x = 56,423.76 × 23,905.47
  4. Step 4: Simplify right side
    40,900.51x = 1,348,836,758.38
  5. Step 5: Solve for x
    x = 1,348,836,758.38/40,900.51
  6. Step 6: Final answer
    x = 32,978.48

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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.