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Finding the Fourth Proportional to 65,535, 98,277.54 and 23,407.20

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Solution

The fourth proportional to 65,535, 98,277.54 and 23,407.20 is: 35,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,535 : 98,277.54 = 23,407.20 : x
  2. Step 2: Convert to fraction form
    65,535/98,277.54 = 23,407.20/x
  3. Step 3: Cross multiply
    65,535x = 98,277.54 × 23,407.20
  4. Step 4: Simplify right side
    65,535x = 2,300,402,034.29
  5. Step 5: Solve for x
    x = 2,300,402,034.29/65,535
  6. Step 6: Final answer
    x = 35,101.89

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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.