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Finding the Fourth Proportional to 97,457.55, 134,489.96 and 54,437.64

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Solution

The fourth proportional to 97,457.55, 134,489.96 and 54,437.64 is: 75,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,457.55 : 134,489.96 = 54,437.64 : x
  2. Step 2: Convert to fraction form
    97,457.55/134,489.96 = 54,437.64/x
  3. Step 3: Cross multiply
    97,457.55x = 134,489.96 × 54,437.64
  4. Step 4: Simplify right side
    97,457.55x = 7,321,316,162.19
  5. Step 5: Solve for x
    x = 7,321,316,162.19/97,457.55
  6. Step 6: Final answer
    x = 75,123.13

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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.