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Finding the Fourth Proportional to 97,457.79, 146,068.95 and 47,462.97

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Solution

The fourth proportional to 97,457.79, 146,068.95 and 47,462.97 is: 71,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,457.79 : 146,068.95 = 47,462.97 : x
  2. Step 2: Convert to fraction form
    97,457.79/146,068.95 = 47,462.97/x
  3. Step 3: Cross multiply
    97,457.79x = 146,068.95 × 47,462.97
  4. Step 4: Simplify right side
    97,457.79x = 6,932,866,191.78
  5. Step 5: Solve for x
    x = 6,932,866,191.78/97,457.79
  6. Step 6: Final answer
    x = 71,137.12

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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.