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Finding the Fourth Proportional to 85,538.34, 128,312.76 and 32,947.98

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Solution

The fourth proportional to 85,538.34, 128,312.76 and 32,947.98 is: 49,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,538.34 : 128,312.76 = 32,947.98 : x
  2. Step 2: Convert to fraction form
    85,538.34/128,312.76 = 32,947.98/x
  3. Step 3: Cross multiply
    85,538.34x = 128,312.76 × 32,947.98
  4. Step 4: Simplify right side
    85,538.34x = 4,227,646,250.22
  5. Step 5: Solve for x
    x = 4,227,646,250.22/85,538.34
  6. Step 6: Final answer
    x = 49,423.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.