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Finding the Fourth Proportional to 74,294.28, 102,533.31 and 42,457.10

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Solution

The fourth proportional to 74,294.28, 102,533.31 and 42,457.10 is: 58,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,294.28 : 102,533.31 = 42,457.10 : x
  2. Step 2: Convert to fraction form
    74,294.28/102,533.31 = 42,457.10/x
  3. Step 3: Cross multiply
    74,294.28x = 102,533.31 × 42,457.10
  4. Step 4: Simplify right side
    74,294.28x = 4,353,266,483.33
  5. Step 5: Solve for x
    x = 4,353,266,483.33/74,294.28
  6. Step 6: Final answer
    x = 58,594.91

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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.