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Finding the Fourth Proportional to 59,384.64, 89,068.32 and 22,440

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Solution

The fourth proportional to 59,384.64, 89,068.32 and 22,440 is: 33,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,384.64 : 89,068.32 = 22,440 : x
  2. Step 2: Convert to fraction form
    59,384.64/89,068.32 = 22,440/x
  3. Step 3: Cross multiply
    59,384.64x = 89,068.32 × 22,440
  4. Step 4: Simplify right side
    59,384.64x = 1,998,693,100.80
  5. Step 5: Solve for x
    x = 1,998,693,100.80/59,384.64
  6. Step 6: Final answer
    x = 33,656.74

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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.