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Finding the Fourth Proportional to 59,023, 81,451.74 and 32,527

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Solution

The fourth proportional to 59,023, 81,451.74 and 32,527 is: 44,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,023 : 81,451.74 = 32,527 : x
  2. Step 2: Convert to fraction form
    59,023/81,451.74 = 32,527/x
  3. Step 3: Cross multiply
    59,023x = 81,451.74 × 32,527
  4. Step 4: Simplify right side
    59,023x = 2,649,380,746.98
  5. Step 5: Solve for x
    x = 2,649,380,746.98/59,023
  6. Step 6: Final answer
    x = 44,887.26

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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.