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Finding the Fourth Proportional to 65,262.55, 97,903.22 and 24,750.98

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Solution

The fourth proportional to 65,262.55, 97,903.22 and 24,750.98 is: 37,130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262.55 : 97,903.22 = 24,750.98 : x
  2. Step 2: Convert to fraction form
    65,262.55/97,903.22 = 24,750.98/x
  3. Step 3: Cross multiply
    65,262.55x = 97,903.22 × 24,750.98
  4. Step 4: Simplify right side
    65,262.55x = 2,423,200,636.12
  5. Step 5: Solve for x
    x = 2,423,200,636.12/65,262.55
  6. Step 6: Final answer
    x = 37,130.03

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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.