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Finding the Fourth Proportional to 65,054.52, 97,568.82 and 29,989.08

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Solution

The fourth proportional to 65,054.52, 97,568.82 and 29,989.08 is: 44,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,054.52 : 97,568.82 = 29,989.08 : x
  2. Step 2: Convert to fraction form
    65,054.52/97,568.82 = 29,989.08/x
  3. Step 3: Cross multiply
    65,054.52x = 97,568.82 × 29,989.08
  4. Step 4: Simplify right side
    65,054.52x = 2,925,999,148.49
  5. Step 5: Solve for x
    x = 2,925,999,148.49/65,054.52
  6. Step 6: Final answer
    x = 44,977.65

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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.