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Finding the Fourth Proportional to 70,798.82, 97,702.70 and 40,585.91

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Solution

The fourth proportional to 70,798.82, 97,702.70 and 40,585.91 is: 56,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,798.82 : 97,702.70 = 40,585.91 : x
  2. Step 2: Convert to fraction form
    70,798.82/97,702.70 = 40,585.91/x
  3. Step 3: Cross multiply
    70,798.82x = 97,702.70 × 40,585.91
  4. Step 4: Simplify right side
    70,798.82x = 3,965,352,297.51
  5. Step 5: Solve for x
    x = 3,965,352,297.51/70,798.82
  6. Step 6: Final answer
    x = 56,008.74

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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.