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Finding the Fourth Proportional to 45,802.02, 63,209.07 and 27,894.15

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Solution

The fourth proportional to 45,802.02, 63,209.07 and 27,894.15 is: 38,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,802.02 : 63,209.07 = 27,894.15 : x
  2. Step 2: Convert to fraction form
    45,802.02/63,209.07 = 27,894.15/x
  3. Step 3: Cross multiply
    45,802.02x = 63,209.07 × 27,894.15
  4. Step 4: Simplify right side
    45,802.02x = 1,763,163,279.94
  5. Step 5: Solve for x
    x = 1,763,163,279.94/45,802.02
  6. Step 6: Final answer
    x = 38,495.32

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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.