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Finding the Fourth Proportional to 102,317.32, 153,474.90 and 39,987.28

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Solution

The fourth proportional to 102,317.32, 153,474.90 and 39,987.28 is: 59,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,317.32 : 153,474.90 = 39,987.28 : x
  2. Step 2: Convert to fraction form
    102,317.32/153,474.90 = 39,987.28/x
  3. Step 3: Cross multiply
    102,317.32x = 153,474.90 × 39,987.28
  4. Step 4: Simplify right side
    102,317.32x = 6,137,044,066.09
  5. Step 5: Solve for x
    x = 6,137,044,066.09/102,317.32
  6. Step 6: Final answer
    x = 59,980.50

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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.