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Finding the Fourth Proportional to 97,670.80, 146,510.52 and 31,115.80

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Solution

The fourth proportional to 97,670.80, 146,510.52 and 31,115.80 is: 46,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,670.80 : 146,510.52 = 31,115.80 : x
  2. Step 2: Convert to fraction form
    97,670.80/146,510.52 = 31,115.80/x
  3. Step 3: Cross multiply
    97,670.80x = 146,510.52 × 31,115.80
  4. Step 4: Simplify right side
    97,670.80x = 4,558,792,038.22
  5. Step 5: Solve for x
    x = 4,558,792,038.22/97,670.80
  6. Step 6: Final answer
    x = 46,675.08

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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.