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Finding the Fourth Proportional to 38,647.84, 53,335.93 and 23,538.07

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Solution

The fourth proportional to 38,647.84, 53,335.93 and 23,538.07 is: 32,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,647.84 : 53,335.93 = 23,538.07 : x
  2. Step 2: Convert to fraction form
    38,647.84/53,335.93 = 23,538.07/x
  3. Step 3: Cross multiply
    38,647.84x = 53,335.93 × 23,538.07
  4. Step 4: Simplify right side
    38,647.84x = 1,255,424,587.18
  5. Step 5: Solve for x
    x = 1,255,424,587.18/38,647.84
  6. Step 6: Final answer
    x = 32,483.70

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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.