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Finding the Fourth Proportional to 30,459.18, 45,693.06 and 9,400.93

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Solution

The fourth proportional to 30,459.18, 45,693.06 and 9,400.93 is: 14,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.18 : 45,693.06 = 9,400.93 : x
  2. Step 2: Convert to fraction form
    30,459.18/45,693.06 = 9,400.93/x
  3. Step 3: Cross multiply
    30,459.18x = 45,693.06 × 9,400.93
  4. Step 4: Simplify right side
    30,459.18x = 429,557,258.55
  5. Step 5: Solve for x
    x = 429,557,258.55/30,459.18
  6. Step 6: Final answer
    x = 14,102.72

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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.