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Finding the Fourth Proportional to 46,854.63, 64,653.02 and 27,987.75

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Solution

The fourth proportional to 46,854.63, 64,653.02 and 27,987.75 is: 38,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,854.63 : 64,653.02 = 27,987.75 : x
  2. Step 2: Convert to fraction form
    46,854.63/64,653.02 = 27,987.75/x
  3. Step 3: Cross multiply
    46,854.63x = 64,653.02 × 27,987.75
  4. Step 4: Simplify right side
    46,854.63x = 1,809,492,420.57
  5. Step 5: Solve for x
    x = 1,809,492,420.57/46,854.63
  6. Step 6: Final answer
    x = 38,619.29

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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.