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Finding the Fourth Proportional to 42,605.64, 58,774.16 and 32,516.57

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Solution

The fourth proportional to 42,605.64, 58,774.16 and 32,516.57 is: 44,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,605.64 : 58,774.16 = 32,516.57 : x
  2. Step 2: Convert to fraction form
    42,605.64/58,774.16 = 32,516.57/x
  3. Step 3: Cross multiply
    42,605.64x = 58,774.16 × 32,516.57
  4. Step 4: Simplify right side
    42,605.64x = 1,911,133,631.38
  5. Step 5: Solve for x
    x = 1,911,133,631.38/42,605.64
  6. Step 6: Final answer
    x = 44,856.35

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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.