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Finding the Fourth Proportional to 38,762.36, 53,492.84 and 30,274.36

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Solution

The fourth proportional to 38,762.36, 53,492.84 and 30,274.36 is: 41,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,762.36 : 53,492.84 = 30,274.36 : x
  2. Step 2: Convert to fraction form
    38,762.36/53,492.84 = 30,274.36/x
  3. Step 3: Cross multiply
    38,762.36x = 53,492.84 × 30,274.36
  4. Step 4: Simplify right side
    38,762.36x = 1,619,461,495.58
  5. Step 5: Solve for x
    x = 1,619,461,495.58/38,762.36
  6. Step 6: Final answer
    x = 41,779.23

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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.