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Finding the Fourth Proportional to 35,430.66, 53,109.53 and 15,718.50

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Solution

The fourth proportional to 35,430.66, 53,109.53 and 15,718.50 is: 23,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,430.66 : 53,109.53 = 15,718.50 : x
  2. Step 2: Convert to fraction form
    35,430.66/53,109.53 = 15,718.50/x
  3. Step 3: Cross multiply
    35,430.66x = 53,109.53 × 15,718.50
  4. Step 4: Simplify right side
    35,430.66x = 834,802,147.31
  5. Step 5: Solve for x
    x = 834,802,147.31/35,430.66
  6. Step 6: Final answer
    x = 23,561.57

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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.