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Finding the Fourth Proportional to 43,306, 59,762.64 and 23,434

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Solution

The fourth proportional to 43,306, 59,762.64 and 23,434 is: 32,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,306 : 59,762.64 = 23,434 : x
  2. Step 2: Convert to fraction form
    43,306/59,762.64 = 23,434/x
  3. Step 3: Cross multiply
    43,306x = 59,762.64 × 23,434
  4. Step 4: Simplify right side
    43,306x = 1,400,477,705.76
  5. Step 5: Solve for x
    x = 1,400,477,705.76/43,306
  6. Step 6: Final answer
    x = 32,339.11

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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.