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Finding the Fourth Proportional to 65,292.86, 97,926.50 and 20,907.74

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Solution

The fourth proportional to 65,292.86, 97,926.50 and 20,907.74 is: 31,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,292.86 : 97,926.50 = 20,907.74 : x
  2. Step 2: Convert to fraction form
    65,292.86/97,926.50 = 20,907.74/x
  3. Step 3: Cross multiply
    65,292.86x = 97,926.50 × 20,907.74
  4. Step 4: Simplify right side
    65,292.86x = 2,047,421,801.11
  5. Step 5: Solve for x
    x = 2,047,421,801.11/65,292.86
  6. Step 6: Final answer
    x = 31,357.51

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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.