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Finding the Fourth Proportional to 52,191, 72,023.58 and 29,835

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Solution

The fourth proportional to 52,191, 72,023.58 and 29,835 is: 41,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,191 : 72,023.58 = 29,835 : x
  2. Step 2: Convert to fraction form
    52,191/72,023.58 = 29,835/x
  3. Step 3: Cross multiply
    52,191x = 72,023.58 × 29,835
  4. Step 4: Simplify right side
    52,191x = 2,148,823,509.30
  5. Step 5: Solve for x
    x = 2,148,823,509.30/52,191
  6. Step 6: Final answer
    x = 41,172.30

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1.5x scale

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.