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Finding the Fourth Proportional to 65,023.24, 97,554.52 and 46,084.50

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Solution

The fourth proportional to 65,023.24, 97,554.52 and 46,084.50 is: 69,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023.24 : 97,554.52 = 46,084.50 : x
  2. Step 2: Convert to fraction form
    65,023.24/97,554.52 = 46,084.50/x
  3. Step 3: Cross multiply
    65,023.24x = 97,554.52 × 46,084.50
  4. Step 4: Simplify right side
    65,023.24x = 4,495,751,700.38
  5. Step 5: Solve for x
    x = 4,495,751,700.38/65,023.24
  6. Step 6: Final answer
    x = 69,140.69

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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.