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Finding the Fourth Proportional to 46,802.28, 64,588.44 and 27,950.40

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Solution

The fourth proportional to 46,802.28, 64,588.44 and 27,950.40 is: 38,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,802.28 : 64,588.44 = 27,950.40 : x
  2. Step 2: Convert to fraction form
    46,802.28/64,588.44 = 27,950.40/x
  3. Step 3: Cross multiply
    46,802.28x = 64,588.44 × 27,950.40
  4. Step 4: Simplify right side
    46,802.28x = 1,805,272,733.38
  5. Step 5: Solve for x
    x = 1,805,272,733.38/46,802.28
  6. Step 6: Final answer
    x = 38,572.32

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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.