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Finding the Fourth Proportional to 46,459.71, 64,129.10 and 29,692.71

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Solution

The fourth proportional to 46,459.71, 64,129.10 and 29,692.71 is: 40,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,459.71 : 64,129.10 = 29,692.71 : x
  2. Step 2: Convert to fraction form
    46,459.71/64,129.10 = 29,692.71/x
  3. Step 3: Cross multiply
    46,459.71x = 64,129.10 × 29,692.71
  4. Step 4: Simplify right side
    46,459.71x = 1,904,166,620.40
  5. Step 5: Solve for x
    x = 1,904,166,620.40/46,459.71
  6. Step 6: Final answer
    x = 40,985.33

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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.