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Finding the Fourth Proportional to 113,294.64, 169,962.24 and 46,697.76

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Solution

The fourth proportional to 113,294.64, 169,962.24 and 46,697.76 is: 70,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,294.64 : 169,962.24 = 46,697.76 : x
  2. Step 2: Convert to fraction form
    113,294.64/169,962.24 = 46,697.76/x
  3. Step 3: Cross multiply
    113,294.64x = 169,962.24 × 46,697.76
  4. Step 4: Simplify right side
    113,294.64x = 7,936,855,892.58
  5. Step 5: Solve for x
    x = 7,936,855,892.58/113,294.64
  6. Step 6: Final answer
    x = 70,055.00

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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.