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Finding the Fourth Proportional to 51,188.34, 70,598.14 and 42,980.26

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Solution

The fourth proportional to 51,188.34, 70,598.14 and 42,980.26 is: 59,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,188.34 : 70,598.14 = 42,980.26 : x
  2. Step 2: Convert to fraction form
    51,188.34/70,598.14 = 42,980.26/x
  3. Step 3: Cross multiply
    51,188.34x = 70,598.14 × 42,980.26
  4. Step 4: Simplify right side
    51,188.34x = 3,034,326,412.72
  5. Step 5: Solve for x
    x = 3,034,326,412.72/51,188.34
  6. Step 6: Final answer
    x = 59,277.69

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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.