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Finding the Fourth Proportional to 30,670.38, 46,015.29 and 10,948.50

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Solution

The fourth proportional to 30,670.38, 46,015.29 and 10,948.50 is: 16,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.38 : 46,015.29 = 10,948.50 : x
  2. Step 2: Convert to fraction form
    30,670.38/46,015.29 = 10,948.50/x
  3. Step 3: Cross multiply
    30,670.38x = 46,015.29 × 10,948.50
  4. Step 4: Simplify right side
    30,670.38x = 503,798,402.57
  5. Step 5: Solve for x
    x = 503,798,402.57/30,670.38
  6. Step 6: Final answer
    x = 16,426.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.