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Finding the Fourth Proportional to 34,038.40, 51,057.68 and 10,346.16

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Solution

The fourth proportional to 34,038.40, 51,057.68 and 10,346.16 is: 15,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,038.40 : 51,057.68 = 10,346.16 : x
  2. Step 2: Convert to fraction form
    34,038.40/51,057.68 = 10,346.16/x
  3. Step 3: Cross multiply
    34,038.40x = 51,057.68 × 10,346.16
  4. Step 4: Simplify right side
    34,038.40x = 528,250,926.51
  5. Step 5: Solve for x
    x = 528,250,926.51/34,038.40
  6. Step 6: Final answer
    x = 15,519.26

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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.