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Finding the Fourth Proportional to 34,719.04, 52,080 and 10,095.04

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Solution

The fourth proportional to 34,719.04, 52,080 and 10,095.04 is: 15,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,719.04 : 52,080 = 10,095.04 : x
  2. Step 2: Convert to fraction form
    34,719.04/52,080 = 10,095.04/x
  3. Step 3: Cross multiply
    34,719.04x = 52,080 × 10,095.04
  4. Step 4: Simplify right side
    34,719.04x = 525,749,683.20
  5. Step 5: Solve for x
    x = 525,749,683.20/34,719.04
  6. Step 6: Final answer
    x = 15,142.98

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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.