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Finding the Fourth Proportional to 31,428, 43,370.64 and 17,281.76

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Solution

The fourth proportional to 31,428, 43,370.64 and 17,281.76 is: 23,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,428 : 43,370.64 = 17,281.76 : x
  2. Step 2: Convert to fraction form
    31,428/43,370.64 = 17,281.76/x
  3. Step 3: Cross multiply
    31,428x = 43,370.64 × 17,281.76
  4. Step 4: Simplify right side
    31,428x = 749,520,774.67
  5. Step 5: Solve for x
    x = 749,520,774.67/31,428
  6. Step 6: Final answer
    x = 23,848.82

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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.