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Finding the Fourth Proportional to 64,823.69, 97,235.64 and 42,735.74

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Solution

The fourth proportional to 64,823.69, 97,235.64 and 42,735.74 is: 64,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,823.69 : 97,235.64 = 42,735.74 : x
  2. Step 2: Convert to fraction form
    64,823.69/97,235.64 = 42,735.74/x
  3. Step 3: Cross multiply
    64,823.69x = 97,235.64 × 42,735.74
  4. Step 4: Simplify right side
    64,823.69x = 4,155,436,543.60
  5. Step 5: Solve for x
    x = 4,155,436,543.60/64,823.69
  6. Step 6: Final answer
    x = 64,103.67

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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.