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Finding the Fourth Proportional to 97,475.94, 134,509.29 and 55,038.66

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Solution

The fourth proportional to 97,475.94, 134,509.29 and 55,038.66 is: 75,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,475.94 : 134,509.29 = 55,038.66 : x
  2. Step 2: Convert to fraction form
    97,475.94/134,509.29 = 55,038.66/x
  3. Step 3: Cross multiply
    97,475.94x = 134,509.29 × 55,038.66
  4. Step 4: Simplify right side
    97,475.94x = 7,403,211,079.15
  5. Step 5: Solve for x
    x = 7,403,211,079.15/97,475.94
  6. Step 6: Final answer
    x = 75,949.11

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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.