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Finding the Fourth Proportional to 64,681.95, 97,018.86 and 24,147.56

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Solution

The fourth proportional to 64,681.95, 97,018.86 and 24,147.56 is: 36,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,681.95 : 97,018.86 = 24,147.56 : x
  2. Step 2: Convert to fraction form
    64,681.95/97,018.86 = 24,147.56/x
  3. Step 3: Cross multiply
    64,681.95x = 97,018.86 × 24,147.56
  4. Step 4: Simplify right side
    64,681.95x = 2,342,768,257.89
  5. Step 5: Solve for x
    x = 2,342,768,257.89/64,681.95
  6. Step 6: Final answer
    x = 36,219.81

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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.