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Finding the Fourth Proportional to 38,417.84, 53,019.71 and 21,427.59

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Solution

The fourth proportional to 38,417.84, 53,019.71 and 21,427.59 is: 29,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,417.84 : 53,019.71 = 21,427.59 : x
  2. Step 2: Convert to fraction form
    38,417.84/53,019.71 = 21,427.59/x
  3. Step 3: Cross multiply
    38,417.84x = 53,019.71 × 21,427.59
  4. Step 4: Simplify right side
    38,417.84x = 1,136,084,602.13
  5. Step 5: Solve for x
    x = 1,136,084,602.13/38,417.84
  6. Step 6: Final answer
    x = 29,571.79

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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.