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Finding the Fourth Proportional to 70,011.16, 105,060.48 and 46,654

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Solution

The fourth proportional to 70,011.16, 105,060.48 and 46,654 is: 70,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,011.16 : 105,060.48 = 46,654 : x
  2. Step 2: Convert to fraction form
    70,011.16/105,060.48 = 46,654/x
  3. Step 3: Cross multiply
    70,011.16x = 105,060.48 × 46,654
  4. Step 4: Simplify right side
    70,011.16x = 4,901,491,633.92
  5. Step 5: Solve for x
    x = 4,901,491,633.92/70,011.16
  6. Step 6: Final answer
    x = 70,010.15

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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.