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Finding the Fourth Proportional to 74,805.84, 112,208.76 and 32,102.01

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Solution

The fourth proportional to 74,805.84, 112,208.76 and 32,102.01 is: 48,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,805.84 : 112,208.76 = 32,102.01 : x
  2. Step 2: Convert to fraction form
    74,805.84/112,208.76 = 32,102.01/x
  3. Step 3: Cross multiply
    74,805.84x = 112,208.76 × 32,102.01
  4. Step 4: Simplify right side
    74,805.84x = 3,602,126,735.61
  5. Step 5: Solve for x
    x = 3,602,126,735.61/74,805.84
  6. Step 6: Final answer
    x = 48,153.02

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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.