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Finding the Fourth Proportional to 53,844.32, 74,296.32 and 29,970.38

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Solution

The fourth proportional to 53,844.32, 74,296.32 and 29,970.38 is: 41,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,844.32 : 74,296.32 = 29,970.38 : x
  2. Step 2: Convert to fraction form
    53,844.32/74,296.32 = 29,970.38/x
  3. Step 3: Cross multiply
    53,844.32x = 74,296.32 × 29,970.38
  4. Step 4: Simplify right side
    53,844.32x = 2,226,688,943.00
  5. Step 5: Solve for x
    x = 2,226,688,943.00/53,844.32
  6. Step 6: Final answer
    x = 41,354.20

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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.