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Finding the Fourth Proportional to 32,970.70, 49,346.70 and 23,129.20

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Solution

The fourth proportional to 32,970.70, 49,346.70 and 23,129.20 is: 34,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.70 : 49,346.70 = 23,129.20 : x
  2. Step 2: Convert to fraction form
    32,970.70/49,346.70 = 23,129.20/x
  3. Step 3: Cross multiply
    32,970.70x = 49,346.70 × 23,129.20
  4. Step 4: Simplify right side
    32,970.70x = 1,141,349,693.64
  5. Step 5: Solve for x
    x = 1,141,349,693.64/32,970.70
  6. Step 6: Final answer
    x = 34,617.09

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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.