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Finding the Fourth Proportional to 44,513.86, 66,784.89 and 19,574.98

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Solution

The fourth proportional to 44,513.86, 66,784.89 and 19,574.98 is: 29,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,513.86 : 66,784.89 = 19,574.98 : x
  2. Step 2: Convert to fraction form
    44,513.86/66,784.89 = 19,574.98/x
  3. Step 3: Cross multiply
    44,513.86x = 66,784.89 × 19,574.98
  4. Step 4: Simplify right side
    44,513.86x = 1,307,312,886.05
  5. Step 5: Solve for x
    x = 1,307,312,886.05/44,513.86
  6. Step 6: Final answer
    x = 29,368.67

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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.