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Finding the Fourth Proportional to 38,492.07, 53,071.01 and 29,428.66

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Solution

The fourth proportional to 38,492.07, 53,071.01 and 29,428.66 is: 40,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.07 : 53,071.01 = 29,428.66 : x
  2. Step 2: Convert to fraction form
    38,492.07/53,071.01 = 29,428.66/x
  3. Step 3: Cross multiply
    38,492.07x = 53,071.01 × 29,428.66
  4. Step 4: Simplify right side
    38,492.07x = 1,561,808,709.15
  5. Step 5: Solve for x
    x = 1,561,808,709.15/38,492.07
  6. Step 6: Final answer
    x = 40,574.82

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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.