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Finding the Fourth Proportional to 98,967.16, 136,574.85 and 53,645.14

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Solution

The fourth proportional to 98,967.16, 136,574.85 and 53,645.14 is: 74,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,967.16 : 136,574.85 = 53,645.14 : x
  2. Step 2: Convert to fraction form
    98,967.16/136,574.85 = 53,645.14/x
  3. Step 3: Cross multiply
    98,967.16x = 136,574.85 × 53,645.14
  4. Step 4: Simplify right side
    98,967.16x = 7,326,576,948.73
  5. Step 5: Solve for x
    x = 7,326,576,948.73/98,967.16
  6. Step 6: Final answer
    x = 74,030.38

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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.