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Finding the Fourth Proportional to 74,464.38, 102,762.81 and 42,643.53

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Solution

The fourth proportional to 74,464.38, 102,762.81 and 42,643.53 is: 58,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,464.38 : 102,762.81 = 42,643.53 : x
  2. Step 2: Convert to fraction form
    74,464.38/102,762.81 = 42,643.53/x
  3. Step 3: Cross multiply
    74,464.38x = 102,762.81 × 42,643.53
  4. Step 4: Simplify right side
    74,464.38x = 4,382,168,971.12
  5. Step 5: Solve for x
    x = 4,382,168,971.12/74,464.38
  6. Step 6: Final answer
    x = 58,849.20

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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.