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Finding the Fourth Proportional to 34,175.86, 51,263.47 and 10,802.30

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Solution

The fourth proportional to 34,175.86, 51,263.47 and 10,802.30 is: 16,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,175.86 : 51,263.47 = 10,802.30 : x
  2. Step 2: Convert to fraction form
    34,175.86/51,263.47 = 10,802.30/x
  3. Step 3: Cross multiply
    34,175.86x = 51,263.47 × 10,802.30
  4. Step 4: Simplify right side
    34,175.86x = 553,763,381.98
  5. Step 5: Solve for x
    x = 553,763,381.98/34,175.86
  6. Step 6: Final answer
    x = 16,203.35

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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.