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Finding the Fourth Proportional to 30,296.16, 45,465 and 10,574.72

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Solution

The fourth proportional to 30,296.16, 45,465 and 10,574.72 is: 15,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.16 : 45,465 = 10,574.72 : x
  2. Step 2: Convert to fraction form
    30,296.16/45,465 = 10,574.72/x
  3. Step 3: Cross multiply
    30,296.16x = 45,465 × 10,574.72
  4. Step 4: Simplify right side
    30,296.16x = 480,779,644.80
  5. Step 5: Solve for x
    x = 480,779,644.80/30,296.16
  6. Step 6: Final answer
    x = 15,869.33

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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.