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Finding the Fourth Proportional to 70,898.16, 97,841.70 and 40,689

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Solution

The fourth proportional to 70,898.16, 97,841.70 and 40,689 is: 56,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,898.16 : 97,841.70 = 40,689 : x
  2. Step 2: Convert to fraction form
    70,898.16/97,841.70 = 40,689/x
  3. Step 3: Cross multiply
    70,898.16x = 97,841.70 × 40,689
  4. Step 4: Simplify right side
    70,898.16x = 3,981,080,931.30
  5. Step 5: Solve for x
    x = 3,981,080,931.30/70,898.16
  6. Step 6: Final answer
    x = 56,152.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.