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Finding the Fourth Proportional to 30,647.60, 45,971.40 and 22,871.60

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Solution

The fourth proportional to 30,647.60, 45,971.40 and 22,871.60 is: 34,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.60 : 45,971.40 = 22,871.60 : x
  2. Step 2: Convert to fraction form
    30,647.60/45,971.40 = 22,871.60/x
  3. Step 3: Cross multiply
    30,647.60x = 45,971.40 × 22,871.60
  4. Step 4: Simplify right side
    30,647.60x = 1,051,439,472.24
  5. Step 5: Solve for x
    x = 1,051,439,472.24/30,647.60
  6. Step 6: Final answer
    x = 34,307.40

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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.