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Finding the Fourth Proportional to 53,598.64, 73,970.66 and 29,733

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Solution

The fourth proportional to 53,598.64, 73,970.66 and 29,733 is: 41,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,598.64 : 73,970.66 = 29,733 : x
  2. Step 2: Convert to fraction form
    53,598.64/73,970.66 = 29,733/x
  3. Step 3: Cross multiply
    53,598.64x = 73,970.66 × 29,733
  4. Step 4: Simplify right side
    53,598.64x = 2,199,369,708.11
  5. Step 5: Solve for x
    x = 2,199,369,708.11/53,598.64
  6. Step 6: Final answer
    x = 41,034.06

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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.