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Finding the Fourth Proportional to 97,510.48, 146,269.90 and 30,953.32

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Solution

The fourth proportional to 97,510.48, 146,269.90 and 30,953.32 is: 46,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,510.48 : 146,269.90 = 30,953.32 : x
  2. Step 2: Convert to fraction form
    97,510.48/146,269.90 = 30,953.32/x
  3. Step 3: Cross multiply
    97,510.48x = 146,269.90 × 30,953.32
  4. Step 4: Simplify right side
    97,510.48x = 4,527,539,021.07
  5. Step 5: Solve for x
    x = 4,527,539,021.07/97,510.48
  6. Step 6: Final answer
    x = 46,431.31

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1.5x scale

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.