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Finding the Fourth Proportional to 53,459.34, 73,706.84 and 34,305.32

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Solution

The fourth proportional to 53,459.34, 73,706.84 and 34,305.32 is: 47,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,459.34 : 73,706.84 = 34,305.32 : x
  2. Step 2: Convert to fraction form
    53,459.34/73,706.84 = 34,305.32/x
  3. Step 3: Cross multiply
    53,459.34x = 73,706.84 × 34,305.32
  4. Step 4: Simplify right side
    53,459.34x = 2,528,536,777.29
  5. Step 5: Solve for x
    x = 2,528,536,777.29/53,459.34
  6. Step 6: Final answer
    x = 47,298.31

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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.