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Finding the Fourth Proportional to 38,428, 53,030.64 and 20,764

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Solution

The fourth proportional to 38,428, 53,030.64 and 20,764 is: 28,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428 : 53,030.64 = 20,764 : x
  2. Step 2: Convert to fraction form
    38,428/53,030.64 = 20,764/x
  3. Step 3: Cross multiply
    38,428x = 53,030.64 × 20,764
  4. Step 4: Simplify right side
    38,428x = 1,101,128,208.96
  5. Step 5: Solve for x
    x = 1,101,128,208.96/38,428
  6. Step 6: Final answer
    x = 28,654.32

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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.