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Finding the Fourth Proportional to 47,123.48, 65,030.24 and 26,980

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Solution

The fourth proportional to 47,123.48, 65,030.24 and 26,980 is: 37,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,123.48 : 65,030.24 = 26,980 : x
  2. Step 2: Convert to fraction form
    47,123.48/65,030.24 = 26,980/x
  3. Step 3: Cross multiply
    47,123.48x = 65,030.24 × 26,980
  4. Step 4: Simplify right side
    47,123.48x = 1,754,515,875.20
  5. Step 5: Solve for x
    x = 1,754,515,875.20/47,123.48
  6. Step 6: Final answer
    x = 37,232.31

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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.