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Finding the Fourth Proportional to 65,052.72, 97,559.64 and 23,490

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Solution

The fourth proportional to 65,052.72, 97,559.64 and 23,490 is: 35,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,052.72 : 97,559.64 = 23,490 : x
  2. Step 2: Convert to fraction form
    65,052.72/97,559.64 = 23,490/x
  3. Step 3: Cross multiply
    65,052.72x = 97,559.64 × 23,490
  4. Step 4: Simplify right side
    65,052.72x = 2,291,675,943.60
  5. Step 5: Solve for x
    x = 2,291,675,943.60/65,052.72
  6. Step 6: Final answer
    x = 35,227.98

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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.