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Finding the Fourth Proportional to 46,653.96, 64,384.02 and 27,788.52

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Solution

The fourth proportional to 46,653.96, 64,384.02 and 27,788.52 is: 38,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,653.96 : 64,384.02 = 27,788.52 : x
  2. Step 2: Convert to fraction form
    46,653.96/64,384.02 = 27,788.52/x
  3. Step 3: Cross multiply
    46,653.96x = 64,384.02 × 27,788.52
  4. Step 4: Simplify right side
    46,653.96x = 1,789,136,627.45
  5. Step 5: Solve for x
    x = 1,789,136,627.45/46,653.96
  6. Step 6: Final answer
    x = 38,349.08

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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.