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Finding the Fourth Proportional to 47,294.34, 65,261.34 and 27,146.40

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Solution

The fourth proportional to 47,294.34, 65,261.34 and 27,146.40 is: 37,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,294.34 : 65,261.34 = 27,146.40 : x
  2. Step 2: Convert to fraction form
    47,294.34/65,261.34 = 27,146.40/x
  3. Step 3: Cross multiply
    47,294.34x = 65,261.34 × 27,146.40
  4. Step 4: Simplify right side
    47,294.34x = 1,771,610,440.18
  5. Step 5: Solve for x
    x = 1,771,610,440.18/47,294.34
  6. Step 6: Final answer
    x = 37,459.25

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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.