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Finding the Fourth Proportional to 38,415.84, 53,017.35 and 23,312.34

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Solution

The fourth proportional to 38,415.84, 53,017.35 and 23,312.34 is: 32,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.84 : 53,017.35 = 23,312.34 : x
  2. Step 2: Convert to fraction form
    38,415.84/53,017.35 = 23,312.34/x
  3. Step 3: Cross multiply
    38,415.84x = 53,017.35 × 23,312.34
  4. Step 4: Simplify right side
    38,415.84x = 1,235,958,532.81
  5. Step 5: Solve for x
    x = 1,235,958,532.81/38,415.84
  6. Step 6: Final answer
    x = 32,173.15

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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.