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Finding the Fourth Proportional to 50,403.60, 75,613.54 and 15,335

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Solution

The fourth proportional to 50,403.60, 75,613.54 and 15,335 is: 23,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,403.60 : 75,613.54 = 15,335 : x
  2. Step 2: Convert to fraction form
    50,403.60/75,613.54 = 15,335/x
  3. Step 3: Cross multiply
    50,403.60x = 75,613.54 × 15,335
  4. Step 4: Simplify right side
    50,403.60x = 1,159,533,635.90
  5. Step 5: Solve for x
    x = 1,159,533,635.90/50,403.60
  6. Step 6: Final answer
    x = 23,004.98

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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.