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Finding the Fourth Proportional to 34,097.60, 51,153.60 and 10,403.20

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Solution

The fourth proportional to 34,097.60, 51,153.60 and 10,403.20 is: 15,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097.60 : 51,153.60 = 10,403.20 : x
  2. Step 2: Convert to fraction form
    34,097.60/51,153.60 = 10,403.20/x
  3. Step 3: Cross multiply
    34,097.60x = 51,153.60 × 10,403.20
  4. Step 4: Simplify right side
    34,097.60x = 532,161,131.52
  5. Step 5: Solve for x
    x = 532,161,131.52/34,097.60
  6. Step 6: Final answer
    x = 15,607.00

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1.5x scale

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.