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Finding the Fourth Proportional to 44,544.64, 61,492.80 and 27,802.24

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Solution

The fourth proportional to 44,544.64, 61,492.80 and 27,802.24 is: 38,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,544.64 : 61,492.80 = 27,802.24 : x
  2. Step 2: Convert to fraction form
    44,544.64/61,492.80 = 27,802.24/x
  3. Step 3: Cross multiply
    44,544.64x = 61,492.80 × 27,802.24
  4. Step 4: Simplify right side
    44,544.64x = 1,709,637,583.87
  5. Step 5: Solve for x
    x = 1,709,637,583.87/44,544.64
  6. Step 6: Final answer
    x = 38,380.32

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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.