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Finding the Fourth Proportional to 98,574, 136,032.24 and 53,862

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Solution

The fourth proportional to 98,574, 136,032.24 and 53,862 is: 74,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,574 : 136,032.24 = 53,862 : x
  2. Step 2: Convert to fraction form
    98,574/136,032.24 = 53,862/x
  3. Step 3: Cross multiply
    98,574x = 136,032.24 × 53,862
  4. Step 4: Simplify right side
    98,574x = 7,326,968,510.88
  5. Step 5: Solve for x
    x = 7,326,968,510.88/98,574
  6. Step 6: Final answer
    x = 74,329.63

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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.