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Finding the Fourth Proportional to 85,312.08, 117,666 and 51,318

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Solution

The fourth proportional to 85,312.08, 117,666 and 51,318 is: 70,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,312.08 : 117,666 = 51,318 : x
  2. Step 2: Convert to fraction form
    85,312.08/117,666 = 51,318/x
  3. Step 3: Cross multiply
    85,312.08x = 117,666 × 51,318
  4. Step 4: Simplify right side
    85,312.08x = 6,038,383,788
  5. Step 5: Solve for x
    x = 6,038,383,788/85,312.08
  6. Step 6: Final answer
    x = 70,779.94

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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.