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Finding the Fourth Proportional to 46,578, 64,281.48 and 26,709.84

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Solution

The fourth proportional to 46,578, 64,281.48 and 26,709.84 is: 36,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,578 : 64,281.48 = 26,709.84 : x
  2. Step 2: Convert to fraction form
    46,578/64,281.48 = 26,709.84/x
  3. Step 3: Cross multiply
    46,578x = 64,281.48 × 26,709.84
  4. Step 4: Simplify right side
    46,578x = 1,716,948,045.76
  5. Step 5: Solve for x
    x = 1,716,948,045.76/46,578
  6. Step 6: Final answer
    x = 36,861.78

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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.