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Finding the Fourth Proportional to 97,498.63, 134,549 and 57,213.06

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Solution

The fourth proportional to 97,498.63, 134,549 and 57,213.06 is: 78,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,498.63 : 134,549 = 57,213.06 : x
  2. Step 2: Convert to fraction form
    97,498.63/134,549 = 57,213.06/x
  3. Step 3: Cross multiply
    97,498.63x = 134,549 × 57,213.06
  4. Step 4: Simplify right side
    97,498.63x = 7,697,960,009.94
  5. Step 5: Solve for x
    x = 7,697,960,009.94/97,498.63
  6. Step 6: Final answer
    x = 78,954.55

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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.