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Finding the Fourth Proportional to 65,316.48, 97,968.99 and 46,262.34

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Solution

The fourth proportional to 65,316.48, 97,968.99 and 46,262.34 is: 69,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,316.48 : 97,968.99 = 46,262.34 : x
  2. Step 2: Convert to fraction form
    65,316.48/97,968.99 = 46,262.34/x
  3. Step 3: Cross multiply
    65,316.48x = 97,968.99 × 46,262.34
  4. Step 4: Simplify right side
    65,316.48x = 4,532,274,898.32
  5. Step 5: Solve for x
    x = 4,532,274,898.32/65,316.48
  6. Step 6: Final answer
    x = 69,389.46

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Why These Related Problems?

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