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Finding the Fourth Proportional to 64,823.40, 97,040.70 and 38,514.60

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Solution

The fourth proportional to 64,823.40, 97,040.70 and 38,514.60 is: 57,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,823.40 : 97,040.70 = 38,514.60 : x
  2. Step 2: Convert to fraction form
    64,823.40/97,040.70 = 38,514.60/x
  3. Step 3: Cross multiply
    64,823.40x = 97,040.70 × 38,514.60
  4. Step 4: Simplify right side
    64,823.40x = 3,737,483,744.22
  5. Step 5: Solve for x
    x = 3,737,483,744.22/64,823.40
  6. Step 6: Final answer
    x = 57,656.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.