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Finding the Fourth Proportional to 47,577.34, 65,663.72 and 27,430.28

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Solution

The fourth proportional to 47,577.34, 65,663.72 and 27,430.28 is: 37,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,577.34 : 65,663.72 = 27,430.28 : x
  2. Step 2: Convert to fraction form
    47,577.34/65,663.72 = 27,430.28/x
  3. Step 3: Cross multiply
    47,577.34x = 65,663.72 × 27,430.28
  4. Step 4: Simplify right side
    47,577.34x = 1,801,174,186.22
  5. Step 5: Solve for x
    x = 1,801,174,186.22/47,577.34
  6. Step 6: Final answer
    x = 37,857.82

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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.