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Finding the Fourth Proportional to 38,569.57, 53,225.29 and 21,802.57

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Solution

The fourth proportional to 38,569.57, 53,225.29 and 21,802.57 is: 30,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569.57 : 53,225.29 = 21,802.57 : x
  2. Step 2: Convert to fraction form
    38,569.57/53,225.29 = 21,802.57/x
  3. Step 3: Cross multiply
    38,569.57x = 53,225.29 × 21,802.57
  4. Step 4: Simplify right side
    38,569.57x = 1,160,448,111.00
  5. Step 5: Solve for x
    x = 1,160,448,111.00/38,569.57
  6. Step 6: Final answer
    x = 30,087.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.