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Finding the Fourth Proportional to 30,302.84, 45,455.02 and 10,312.32

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Solution

The fourth proportional to 30,302.84, 45,455.02 and 10,312.32 is: 15,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302.84 : 45,455.02 = 10,312.32 : x
  2. Step 2: Convert to fraction form
    30,302.84/45,455.02 = 10,312.32/x
  3. Step 3: Cross multiply
    30,302.84x = 45,455.02 × 10,312.32
  4. Step 4: Simplify right side
    30,302.84x = 468,746,711.85
  5. Step 5: Solve for x
    x = 468,746,711.85/30,302.84
  6. Step 6: Final answer
    x = 15,468.74

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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.