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Finding the Fourth Proportional to 35,430.12, 53,143.02 and 14,653.08

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Solution

The fourth proportional to 35,430.12, 53,143.02 and 14,653.08 is: 21,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,430.12 : 53,143.02 = 14,653.08 : x
  2. Step 2: Convert to fraction form
    35,430.12/53,143.02 = 14,653.08/x
  3. Step 3: Cross multiply
    35,430.12x = 53,143.02 × 14,653.08
  4. Step 4: Simplify right side
    35,430.12x = 778,708,923.50
  5. Step 5: Solve for x
    x = 778,708,923.50/35,430.12
  6. Step 6: Final answer
    x = 21,978.73

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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.