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Finding the Fourth Proportional to 65,056.42, 97,518.12 and 36,917.02

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Solution

The fourth proportional to 65,056.42, 97,518.12 and 36,917.02 is: 55,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,056.42 : 97,518.12 = 36,917.02 : x
  2. Step 2: Convert to fraction form
    65,056.42/97,518.12 = 36,917.02/x
  3. Step 3: Cross multiply
    65,056.42x = 97,518.12 × 36,917.02
  4. Step 4: Simplify right side
    65,056.42x = 3,600,078,386.40
  5. Step 5: Solve for x
    x = 3,600,078,386.40/65,056.42
  6. Step 6: Final answer
    x = 55,337.79

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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.