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Finding the Fourth Proportional to 48,113.64, 66,405.38 and 35,385.30

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Solution

The fourth proportional to 48,113.64, 66,405.38 and 35,385.30 is: 48,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,113.64 : 66,405.38 = 35,385.30 : x
  2. Step 2: Convert to fraction form
    48,113.64/66,405.38 = 35,385.30/x
  3. Step 3: Cross multiply
    48,113.64x = 66,405.38 × 35,385.30
  4. Step 4: Simplify right side
    48,113.64x = 2,349,774,115.99
  5. Step 5: Solve for x
    x = 2,349,774,115.99/48,113.64
  6. Step 6: Final answer
    x = 48,838.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.