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Finding the Fourth Proportional to 38,421, 53,030.70 and 21,663.72

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Solution

The fourth proportional to 38,421, 53,030.70 and 21,663.72 is: 29,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421 : 53,030.70 = 21,663.72 : x
  2. Step 2: Convert to fraction form
    38,421/53,030.70 = 21,663.72/x
  3. Step 3: Cross multiply
    38,421x = 53,030.70 × 21,663.72
  4. Step 4: Simplify right side
    38,421x = 1,148,842,236.20
  5. Step 5: Solve for x
    x = 1,148,842,236.20/38,421
  6. Step 6: Final answer
    x = 29,901.41

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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.