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Finding the Fourth Proportional to 65,213.96, 97,733.34 and 35,587.40

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Solution

The fourth proportional to 65,213.96, 97,733.34 and 35,587.40 is: 53,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.96 : 97,733.34 = 35,587.40 : x
  2. Step 2: Convert to fraction form
    65,213.96/97,733.34 = 35,587.40/x
  3. Step 3: Cross multiply
    65,213.96x = 97,733.34 × 35,587.40
  4. Step 4: Simplify right side
    65,213.96x = 3,478,075,463.92
  5. Step 5: Solve for x
    x = 3,478,075,463.92/65,213.96
  6. Step 6: Final answer
    x = 53,333.30

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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.