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Finding the Fourth Proportional to 64,420.32, 96,521.04 and 31,156

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Solution

The fourth proportional to 64,420.32, 96,521.04 and 31,156 is: 46,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,420.32 : 96,521.04 = 31,156 : x
  2. Step 2: Convert to fraction form
    64,420.32/96,521.04 = 31,156/x
  3. Step 3: Cross multiply
    64,420.32x = 96,521.04 × 31,156
  4. Step 4: Simplify right side
    64,420.32x = 3,007,209,522.24
  5. Step 5: Solve for x
    x = 3,007,209,522.24/64,420.32
  6. Step 6: Final answer
    x = 46,681.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.