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Finding the Fourth Proportional to 42,804.50, 64,143.95 and 24,120.63

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Solution

The fourth proportional to 42,804.50, 64,143.95 and 24,120.63 is: 36,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,804.50 : 64,143.95 = 24,120.63 : x
  2. Step 2: Convert to fraction form
    42,804.50/64,143.95 = 24,120.63/x
  3. Step 3: Cross multiply
    42,804.50x = 64,143.95 × 24,120.63
  4. Step 4: Simplify right side
    42,804.50x = 1,547,192,364.09
  5. Step 5: Solve for x
    x = 1,547,192,364.09/42,804.50
  6. Step 6: Final answer
    x = 36,145.56

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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.