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Finding the Fourth Proportional to 34,802.40, 52,203.60 and 11,431.20

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Solution

The fourth proportional to 34,802.40, 52,203.60 and 11,431.20 is: 17,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,802.40 : 52,203.60 = 11,431.20 : x
  2. Step 2: Convert to fraction form
    34,802.40/52,203.60 = 11,431.20/x
  3. Step 3: Cross multiply
    34,802.40x = 52,203.60 × 11,431.20
  4. Step 4: Simplify right side
    34,802.40x = 596,749,792.32
  5. Step 5: Solve for x
    x = 596,749,792.32/34,802.40
  6. Step 6: Final answer
    x = 17,146.80

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Why These Related Problems?

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