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Finding the Fourth Proportional to 30,466.17, 45,703.60 and 9,407.95

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Solution

The fourth proportional to 30,466.17, 45,703.60 and 9,407.95 is: 14,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.17 : 45,703.60 = 9,407.95 : x
  2. Step 2: Convert to fraction form
    30,466.17/45,703.60 = 9,407.95/x
  3. Step 3: Cross multiply
    30,466.17x = 45,703.60 × 9,407.95
  4. Step 4: Simplify right side
    30,466.17x = 429,977,045.84
  5. Step 5: Solve for x
    x = 429,977,045.84/30,466.17
  6. Step 6: Final answer
    x = 14,113.26

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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.