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Finding the Fourth Proportional to 35,641.88, 53,459.70 and 10,687.50

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Solution

The fourth proportional to 35,641.88, 53,459.70 and 10,687.50 is: 16,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641.88 : 53,459.70 = 10,687.50 : x
  2. Step 2: Convert to fraction form
    35,641.88/53,459.70 = 10,687.50/x
  3. Step 3: Cross multiply
    35,641.88x = 53,459.70 × 10,687.50
  4. Step 4: Simplify right side
    35,641.88x = 571,350,543.75
  5. Step 5: Solve for x
    x = 571,350,543.75/35,641.88
  6. Step 6: Final answer
    x = 16,030.31

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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.