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Finding the Fourth Proportional to 97,792, 134,953.08 and 53,080

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Solution

The fourth proportional to 97,792, 134,953.08 and 53,080 is: 73,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,792 : 134,953.08 = 53,080 : x
  2. Step 2: Convert to fraction form
    97,792/134,953.08 = 53,080/x
  3. Step 3: Cross multiply
    97,792x = 134,953.08 × 53,080
  4. Step 4: Simplify right side
    97,792x = 7,163,309,486.40
  5. Step 5: Solve for x
    x = 7,163,309,486.40/97,792
  6. Step 6: Final answer
    x = 73,250.47

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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.