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Finding the Fourth Proportional to 65,000.96, 97,411.84 and 37,240.32

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Solution

The fourth proportional to 65,000.96, 97,411.84 and 37,240.32 is: 55,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000.96 : 97,411.84 = 37,240.32 : x
  2. Step 2: Convert to fraction form
    65,000.96/97,411.84 = 37,240.32/x
  3. Step 3: Cross multiply
    65,000.96x = 97,411.84 × 37,240.32
  4. Step 4: Simplify right side
    65,000.96x = 3,627,648,093.39
  5. Step 5: Solve for x
    x = 3,627,648,093.39/65,000.96
  6. Step 6: Final answer
    x = 55,809.15

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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.