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Finding the Fourth Proportional to 65,347.61, 97,863.53 and 37,182.35

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Solution

The fourth proportional to 65,347.61, 97,863.53 and 37,182.35 is: 55,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,347.61 : 97,863.53 = 37,182.35 : x
  2. Step 2: Convert to fraction form
    65,347.61/97,863.53 = 37,182.35/x
  3. Step 3: Cross multiply
    65,347.61x = 97,863.53 × 37,182.35
  4. Step 4: Simplify right side
    65,347.61x = 3,638,796,024.70
  5. Step 5: Solve for x
    x = 3,638,796,024.70/65,347.61
  6. Step 6: Final answer
    x = 55,683.69

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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.