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Finding the Fourth Proportional to 38,484.84, 53,109.36 and 22,569.60

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Solution

The fourth proportional to 38,484.84, 53,109.36 and 22,569.60 is: 31,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484.84 : 53,109.36 = 22,569.60 : x
  2. Step 2: Convert to fraction form
    38,484.84/53,109.36 = 22,569.60/x
  3. Step 3: Cross multiply
    38,484.84x = 53,109.36 × 22,569.60
  4. Step 4: Simplify right side
    38,484.84x = 1,198,657,011.46
  5. Step 5: Solve for x
    x = 1,198,657,011.46/38,484.84
  6. Step 6: Final answer
    x = 31,146.21

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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.