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Finding the Fourth Proportional to 46,584.04, 64,307.64 and 27,457.78

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Solution

The fourth proportional to 46,584.04, 64,307.64 and 27,457.78 is: 37,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,584.04 : 64,307.64 = 27,457.78 : x
  2. Step 2: Convert to fraction form
    46,584.04/64,307.64 = 27,457.78/x
  3. Step 3: Cross multiply
    46,584.04x = 64,307.64 × 27,457.78
  4. Step 4: Simplify right side
    46,584.04x = 1,765,745,031.44
  5. Step 5: Solve for x
    x = 1,765,745,031.44/46,584.04
  6. Step 6: Final answer
    x = 37,904.51

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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.