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Finding the Fourth Proportional to 97,745, 134,888.82 and 53,033

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Solution

The fourth proportional to 97,745, 134,888.82 and 53,033 is: 73,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,745 : 134,888.82 = 53,033 : x
  2. Step 2: Convert to fraction form
    97,745/134,888.82 = 53,033/x
  3. Step 3: Cross multiply
    97,745x = 134,888.82 × 53,033
  4. Step 4: Simplify right side
    97,745x = 7,153,558,791.06
  5. Step 5: Solve for x
    x = 7,153,558,791.06/97,745
  6. Step 6: Final answer
    x = 73,185.93

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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.