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Finding the Fourth Proportional to 65,252.08, 97,878.20 and 16,004.08

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Solution

The fourth proportional to 65,252.08, 97,878.20 and 16,004.08 is: 24,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.08 : 97,878.20 = 16,004.08 : x
  2. Step 2: Convert to fraction form
    65,252.08/97,878.20 = 16,004.08/x
  3. Step 3: Cross multiply
    65,252.08x = 97,878.20 × 16,004.08
  4. Step 4: Simplify right side
    65,252.08x = 1,566,450,543.06
  5. Step 5: Solve for x
    x = 1,566,450,543.06/65,252.08
  6. Step 6: Final answer
    x = 24,006.14

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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.