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Finding the Fourth Proportional to 82,354.30, 113,563.47 and 70,457.02

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Solution

The fourth proportional to 82,354.30, 113,563.47 and 70,457.02 is: 97,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354.30 : 113,563.47 = 70,457.02 : x
  2. Step 2: Convert to fraction form
    82,354.30/113,563.47 = 70,457.02/x
  3. Step 3: Cross multiply
    82,354.30x = 113,563.47 × 70,457.02
  4. Step 4: Simplify right side
    82,354.30x = 8,001,343,677.06
  5. Step 5: Solve for x
    x = 8,001,343,677.06/82,354.30
  6. Step 6: Final answer
    x = 97,157.57

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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.