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Finding the Fourth Proportional to 34,477.76, 47,580 and 26,932.88

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Solution

The fourth proportional to 34,477.76, 47,580 and 26,932.88 is: 37,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477.76 : 47,580 = 26,932.88 : x
  2. Step 2: Convert to fraction form
    34,477.76/47,580 = 26,932.88/x
  3. Step 3: Cross multiply
    34,477.76x = 47,580 × 26,932.88
  4. Step 4: Simplify right side
    34,477.76x = 1,281,466,430.40
  5. Step 5: Solve for x
    x = 1,281,466,430.40/34,477.76
  6. Step 6: Final answer
    x = 37,167.91

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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.