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Finding the Fourth Proportional to 65,266.65, 97,899.98 and 39,022.65

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Solution

The fourth proportional to 65,266.65, 97,899.98 and 39,022.65 is: 58,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,266.65 : 97,899.98 = 39,022.65 : x
  2. Step 2: Convert to fraction form
    65,266.65/97,899.98 = 39,022.65/x
  3. Step 3: Cross multiply
    65,266.65x = 97,899.98 × 39,022.65
  4. Step 4: Simplify right side
    65,266.65x = 3,820,316,459.43
  5. Step 5: Solve for x
    x = 3,820,316,459.43/65,266.65
  6. Step 6: Final answer
    x = 58,533.98

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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.