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Finding the Fourth Proportional to 61,823.96, 85,316.64 and 33,529.64

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Solution

The fourth proportional to 61,823.96, 85,316.64 and 33,529.64 is: 46,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,823.96 : 85,316.64 = 33,529.64 : x
  2. Step 2: Convert to fraction form
    61,823.96/85,316.64 = 33,529.64/x
  3. Step 3: Cross multiply
    61,823.96x = 85,316.64 × 33,529.64
  4. Step 4: Simplify right side
    61,823.96x = 2,860,636,225.21
  5. Step 5: Solve for x
    x = 2,860,636,225.21/61,823.96
  6. Step 6: Final answer
    x = 46,270.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.