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Finding the Fourth Proportional to 64,121.16, 96,051.12 and 52,317

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Solution

The fourth proportional to 64,121.16, 96,051.12 and 52,317 is: 78,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,121.16 : 96,051.12 = 52,317 : x
  2. Step 2: Convert to fraction form
    64,121.16/96,051.12 = 52,317/x
  3. Step 3: Cross multiply
    64,121.16x = 96,051.12 × 52,317
  4. Step 4: Simplify right side
    64,121.16x = 5,025,106,445.04
  5. Step 5: Solve for x
    x = 5,025,106,445.04/64,121.16
  6. Step 6: Final answer
    x = 78,368.93

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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.