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Finding the Fourth Proportional to 30,417.19, 45,627.41 and 9,642.31

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Solution

The fourth proportional to 30,417.19, 45,627.41 and 9,642.31 is: 14,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417.19 : 45,627.41 = 9,642.31 : x
  2. Step 2: Convert to fraction form
    30,417.19/45,627.41 = 9,642.31/x
  3. Step 3: Cross multiply
    30,417.19x = 45,627.41 × 9,642.31
  4. Step 4: Simplify right side
    30,417.19x = 439,953,631.72
  5. Step 5: Solve for x
    x = 439,953,631.72/30,417.19
  6. Step 6: Final answer
    x = 14,463.98

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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.