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Finding the Fourth Proportional to 97,038.69, 145,668.75 and 65,041.52

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Solution

The fourth proportional to 97,038.69, 145,668.75 and 65,041.52 is: 97,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,038.69 : 145,668.75 = 65,041.52 : x
  2. Step 2: Convert to fraction form
    97,038.69/145,668.75 = 65,041.52/x
  3. Step 3: Cross multiply
    97,038.69x = 145,668.75 × 65,041.52
  4. Step 4: Simplify right side
    97,038.69x = 9,474,516,188.16
  5. Step 5: Solve for x
    x = 9,474,516,188.16/97,038.69
  6. Step 6: Final answer
    x = 97,636.48

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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.