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Finding the Fourth Proportional to 64,754.88, 97,106.76 and 31,465.08

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Solution

The fourth proportional to 64,754.88, 97,106.76 and 31,465.08 is: 47,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,754.88 : 97,106.76 = 31,465.08 : x
  2. Step 2: Convert to fraction form
    64,754.88/97,106.76 = 31,465.08/x
  3. Step 3: Cross multiply
    64,754.88x = 97,106.76 × 31,465.08
  4. Step 4: Simplify right side
    64,754.88x = 3,055,471,971.94
  5. Step 5: Solve for x
    x = 3,055,471,971.94/64,754.88
  6. Step 6: Final answer
    x = 47,185.20

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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.