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Finding the Fourth Proportional to 45,967.68, 63,430.92 and 25,820

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Solution

The fourth proportional to 45,967.68, 63,430.92 and 25,820 is: 35,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,967.68 : 63,430.92 = 25,820 : x
  2. Step 2: Convert to fraction form
    45,967.68/63,430.92 = 25,820/x
  3. Step 3: Cross multiply
    45,967.68x = 63,430.92 × 25,820
  4. Step 4: Simplify right side
    45,967.68x = 1,637,786,354.40
  5. Step 5: Solve for x
    x = 1,637,786,354.40/45,967.68
  6. Step 6: Final answer
    x = 35,629.08

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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.