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Finding the Fourth Proportional to 30,188.16, 45,265.80 and 10,465.12

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Solution

The fourth proportional to 30,188.16, 45,265.80 and 10,465.12 is: 15,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.16 : 45,265.80 = 10,465.12 : x
  2. Step 2: Convert to fraction form
    30,188.16/45,265.80 = 10,465.12/x
  3. Step 3: Cross multiply
    30,188.16x = 45,265.80 × 10,465.12
  4. Step 4: Simplify right side
    30,188.16x = 473,712,028.90
  5. Step 5: Solve for x
    x = 473,712,028.90/30,188.16
  6. Step 6: Final answer
    x = 15,691.98

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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.