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Finding the Fourth Proportional to 35,869.74, 53,784.71 and 14,503.15

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Solution

The fourth proportional to 35,869.74, 53,784.71 and 14,503.15 is: 21,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,869.74 : 53,784.71 = 14,503.15 : x
  2. Step 2: Convert to fraction form
    35,869.74/53,784.71 = 14,503.15/x
  3. Step 3: Cross multiply
    35,869.74x = 53,784.71 × 14,503.15
  4. Step 4: Simplify right side
    35,869.74x = 780,047,765.94
  5. Step 5: Solve for x
    x = 780,047,765.94/35,869.74
  6. Step 6: Final answer
    x = 21,746.68

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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.