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Finding the Fourth Proportional to 51,186.34, 70,595.38 and 42,978.25

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Solution

The fourth proportional to 51,186.34, 70,595.38 and 42,978.25 is: 59,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,186.34 : 70,595.38 = 42,978.25 : x
  2. Step 2: Convert to fraction form
    51,186.34/70,595.38 = 42,978.25/x
  3. Step 3: Cross multiply
    51,186.34x = 70,595.38 × 42,978.25
  4. Step 4: Simplify right side
    51,186.34x = 3,034,065,890.49
  5. Step 5: Solve for x
    x = 3,034,065,890.49/51,186.34
  6. Step 6: Final answer
    x = 59,274.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.