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Finding the Fourth Proportional to 65,024.24, 97,556.02 and 46,085.50

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Solution

The fourth proportional to 65,024.24, 97,556.02 and 46,085.50 is: 69,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,024.24 : 97,556.02 = 46,085.50 : x
  2. Step 2: Convert to fraction form
    65,024.24/97,556.02 = 46,085.50/x
  3. Step 3: Cross multiply
    65,024.24x = 97,556.02 × 46,085.50
  4. Step 4: Simplify right side
    65,024.24x = 4,495,917,959.71
  5. Step 5: Solve for x
    x = 4,495,917,959.71/65,024.24
  6. Step 6: Final answer
    x = 69,142.18

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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.