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Finding the Fourth Proportional to 38,473.53, 53,094.86 and 22,339.64

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Solution

The fourth proportional to 38,473.53, 53,094.86 and 22,339.64 is: 30,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,473.53 : 53,094.86 = 22,339.64 : x
  2. Step 2: Convert to fraction form
    38,473.53/53,094.86 = 22,339.64/x
  3. Step 3: Cross multiply
    38,473.53x = 53,094.86 × 22,339.64
  4. Step 4: Simplify right side
    38,473.53x = 1,186,119,681.08
  5. Step 5: Solve for x
    x = 1,186,119,681.08/38,473.53
  6. Step 6: Final answer
    x = 30,829.50

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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.