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Finding the Fourth Proportional to 30,916, 46,374.36 and 10,140.40

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Solution

The fourth proportional to 30,916, 46,374.36 and 10,140.40 is: 15,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916 : 46,374.36 = 10,140.40 : x
  2. Step 2: Convert to fraction form
    30,916/46,374.36 = 10,140.40/x
  3. Step 3: Cross multiply
    30,916x = 46,374.36 × 10,140.40
  4. Step 4: Simplify right side
    30,916x = 470,254,560.14
  5. Step 5: Solve for x
    x = 470,254,560.14/30,916
  6. Step 6: Final answer
    x = 15,210.72

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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.