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Finding the Fourth Proportional to 38,484.16, 53,117 and 22,573.74

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Solution

The fourth proportional to 38,484.16, 53,117 and 22,573.74 is: 31,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484.16 : 53,117 = 22,573.74 : x
  2. Step 2: Convert to fraction form
    38,484.16/53,117 = 22,573.74/x
  3. Step 3: Cross multiply
    38,484.16x = 53,117 × 22,573.74
  4. Step 4: Simplify right side
    38,484.16x = 1,199,049,347.58
  5. Step 5: Solve for x
    x = 1,199,049,347.58/38,484.16
  6. Step 6: Final answer
    x = 31,156.96

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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.