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Finding the Fourth Proportional to 38,038.42, 52,475.32 and 24,614

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Solution

The fourth proportional to 38,038.42, 52,475.32 and 24,614 is: 33,955.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038.42 : 52,475.32 = 24,614 : x
  2. Step 2: Convert to fraction form
    38,038.42/52,475.32 = 24,614/x
  3. Step 3: Cross multiply
    38,038.42x = 52,475.32 × 24,614
  4. Step 4: Simplify right side
    38,038.42x = 1,291,627,526.48
  5. Step 5: Solve for x
    x = 1,291,627,526.48/38,038.42
  6. Step 6: Final answer
    x = 33,955.87

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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.