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Finding the Fourth Proportional to 30,378.68, 45,570.18 and 9,602

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Solution

The fourth proportional to 30,378.68, 45,570.18 and 9,602 is: 14,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.68 : 45,570.18 = 9,602 : x
  2. Step 2: Convert to fraction form
    30,378.68/45,570.18 = 9,602/x
  3. Step 3: Cross multiply
    30,378.68x = 45,570.18 × 9,602
  4. Step 4: Simplify right side
    30,378.68x = 437,564,868.36
  5. Step 5: Solve for x
    x = 437,564,868.36/30,378.68
  6. Step 6: Final answer
    x = 14,403.68

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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.