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Finding the Fourth Proportional to 58,943, 81,341.34 and 32,447

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Solution

The fourth proportional to 58,943, 81,341.34 and 32,447 is: 44,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,943 : 81,341.34 = 32,447 : x
  2. Step 2: Convert to fraction form
    58,943/81,341.34 = 32,447/x
  3. Step 3: Cross multiply
    58,943x = 81,341.34 × 32,447
  4. Step 4: Simplify right side
    58,943x = 2,639,282,458.98
  5. Step 5: Solve for x
    x = 2,639,282,458.98/58,943
  6. Step 6: Final answer
    x = 44,776.86

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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.