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Finding the Fourth Proportional to 53,842.64, 74,303.52 and 29,970.32

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Solution

The fourth proportional to 53,842.64, 74,303.52 and 29,970.32 is: 41,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842.64 : 74,303.52 = 29,970.32 : x
  2. Step 2: Convert to fraction form
    53,842.64/74,303.52 = 29,970.32/x
  3. Step 3: Cross multiply
    53,842.64x = 74,303.52 × 29,970.32
  4. Step 4: Simplify right side
    53,842.64x = 2,226,900,271.53
  5. Step 5: Solve for x
    x = 2,226,900,271.53/53,842.64
  6. Step 6: Final answer
    x = 41,359.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.