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Finding the Fourth Proportional to 38,106.51, 52,575.60 and 24,656.46

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Solution

The fourth proportional to 38,106.51, 52,575.60 and 24,656.46 is: 34,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,106.51 : 52,575.60 = 24,656.46 : x
  2. Step 2: Convert to fraction form
    38,106.51/52,575.60 = 24,656.46/x
  3. Step 3: Cross multiply
    38,106.51x = 52,575.60 × 24,656.46
  4. Step 4: Simplify right side
    38,106.51x = 1,296,328,055.09
  5. Step 5: Solve for x
    x = 1,296,328,055.09/38,106.51
  6. Step 6: Final answer
    x = 34,018.55

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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.