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Finding the Fourth Proportional to 64,557.06, 96,748.02 and 31,210.71

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Solution

The fourth proportional to 64,557.06, 96,748.02 and 31,210.71 is: 46,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,557.06 : 96,748.02 = 31,210.71 : x
  2. Step 2: Convert to fraction form
    64,557.06/96,748.02 = 31,210.71/x
  3. Step 3: Cross multiply
    64,557.06x = 96,748.02 × 31,210.71
  4. Step 4: Simplify right side
    64,557.06x = 3,019,574,395.29
  5. Step 5: Solve for x
    x = 3,019,574,395.29/64,557.06
  6. Step 6: Final answer
    x = 46,773.73

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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.