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Finding the Fourth Proportional to 32,207, 44,430.54 and 22,780.76

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Solution

The fourth proportional to 32,207, 44,430.54 and 22,780.76 is: 31,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207 : 44,430.54 = 22,780.76 : x
  2. Step 2: Convert to fraction form
    32,207/44,430.54 = 22,780.76/x
  3. Step 3: Cross multiply
    32,207x = 44,430.54 × 22,780.76
  4. Step 4: Simplify right side
    32,207x = 1,012,161,468.41
  5. Step 5: Solve for x
    x = 1,012,161,468.41/32,207
  6. Step 6: Final answer
    x = 31,426.75

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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.