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Finding the Fourth Proportional to 46,459.34, 64,133.50 and 31,372.43

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Solution

The fourth proportional to 46,459.34, 64,133.50 and 31,372.43 is: 43,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,459.34 : 64,133.50 = 31,372.43 : x
  2. Step 2: Convert to fraction form
    46,459.34/64,133.50 = 31,372.43/x
  3. Step 3: Cross multiply
    46,459.34x = 64,133.50 × 31,372.43
  4. Step 4: Simplify right side
    46,459.34x = 2,012,023,739.41
  5. Step 5: Solve for x
    x = 2,012,023,739.41/46,459.34
  6. Step 6: Final answer
    x = 43,307.20

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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.