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Finding the Fourth Proportional to 65,315.60, 97,827.60 and 53,651.60

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Solution

The fourth proportional to 65,315.60, 97,827.60 and 53,651.60 is: 80,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,315.60 : 97,827.60 = 53,651.60 : x
  2. Step 2: Convert to fraction form
    65,315.60/97,827.60 = 53,651.60/x
  3. Step 3: Cross multiply
    65,315.60x = 97,827.60 × 53,651.60
  4. Step 4: Simplify right side
    65,315.60x = 5,248,607,264.16
  5. Step 5: Solve for x
    x = 5,248,607,264.16/65,315.60
  6. Step 6: Final answer
    x = 80,357.64

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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.