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Finding the Fourth Proportional to 65,312.10, 97,822.35 and 53,648.10

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Solution

The fourth proportional to 65,312.10, 97,822.35 and 53,648.10 is: 80,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,312.10 : 97,822.35 = 53,648.10 : x
  2. Step 2: Convert to fraction form
    65,312.10/97,822.35 = 53,648.10/x
  3. Step 3: Cross multiply
    65,312.10x = 97,822.35 × 53,648.10
  4. Step 4: Simplify right side
    65,312.10x = 5,247,983,215.04
  5. Step 5: Solve for x
    x = 5,247,983,215.04/65,312.10
  6. Step 6: Final answer
    x = 80,352.39

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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.