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Finding the Fourth Proportional to 104,570, 156,894.68 and 48,437

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Solution

The fourth proportional to 104,570, 156,894.68 and 48,437 is: 72,673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,570 : 156,894.68 = 48,437 : x
  2. Step 2: Convert to fraction form
    104,570/156,894.68 = 48,437/x
  3. Step 3: Cross multiply
    104,570x = 156,894.68 × 48,437
  4. Step 4: Simplify right side
    104,570x = 7,599,507,615.16
  5. Step 5: Solve for x
    x = 7,599,507,615.16/104,570
  6. Step 6: Final answer
    x = 72,673.88

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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.