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Finding the Fourth Proportional to 59,539, 89,281.74 and 42,829

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Solution

The fourth proportional to 59,539, 89,281.74 and 42,829 is: 64,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,539 : 89,281.74 = 42,829 : x
  2. Step 2: Convert to fraction form
    59,539/89,281.74 = 42,829/x
  3. Step 3: Cross multiply
    59,539x = 89,281.74 × 42,829
  4. Step 4: Simplify right side
    59,539x = 3,823,847,642.46
  5. Step 5: Solve for x
    x = 3,823,847,642.46/59,539
  6. Step 6: Final answer
    x = 64,224.25

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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.