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Finding the Fourth Proportional to 38,424, 53,025.93 and 21,657

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Solution

The fourth proportional to 38,424, 53,025.93 and 21,657 is: 29,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424 : 53,025.93 = 21,657 : x
  2. Step 2: Convert to fraction form
    38,424/53,025.93 = 21,657/x
  3. Step 3: Cross multiply
    38,424x = 53,025.93 × 21,657
  4. Step 4: Simplify right side
    38,424x = 1,148,382,566.01
  5. Step 5: Solve for x
    x = 1,148,382,566.01/38,424
  6. Step 6: Final answer
    x = 29,887.12

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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.