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Finding the Fourth Proportional to 47,051.63, 70,548.81 and 20,002.10

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Solution

The fourth proportional to 47,051.63, 70,548.81 and 20,002.10 is: 29,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,051.63 : 70,548.81 = 20,002.10 : x
  2. Step 2: Convert to fraction form
    47,051.63/70,548.81 = 20,002.10/x
  3. Step 3: Cross multiply
    47,051.63x = 70,548.81 × 20,002.10
  4. Step 4: Simplify right side
    47,051.63x = 1,411,124,352.50
  5. Step 5: Solve for x
    x = 1,411,124,352.50/47,051.63
  6. Step 6: Final answer
    x = 29,990.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.