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Finding the Fourth Proportional to 51,397.34, 77,125.16 and 20,254.46

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Solution

The fourth proportional to 51,397.34, 77,125.16 and 20,254.46 is: 30,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,397.34 : 77,125.16 = 20,254.46 : x
  2. Step 2: Convert to fraction form
    51,397.34/77,125.16 = 20,254.46/x
  3. Step 3: Cross multiply
    51,397.34x = 77,125.16 × 20,254.46
  4. Step 4: Simplify right side
    51,397.34x = 1,562,128,133.22
  5. Step 5: Solve for x
    x = 1,562,128,133.22/51,397.34
  6. Step 6: Final answer
    x = 30,393.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.