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Finding the Fourth Proportional to 42,819.84, 64,160.64 and 35,032.32

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Solution

The fourth proportional to 42,819.84, 64,160.64 and 35,032.32 is: 52,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,819.84 : 64,160.64 = 35,032.32 : x
  2. Step 2: Convert to fraction form
    42,819.84/64,160.64 = 35,032.32/x
  3. Step 3: Cross multiply
    42,819.84x = 64,160.64 × 35,032.32
  4. Step 4: Simplify right side
    42,819.84x = 2,247,696,071.88
  5. Step 5: Solve for x
    x = 2,247,696,071.88/42,819.84
  6. Step 6: Final answer
    x = 52,491.93

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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.