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Finding the Fourth Proportional to 30,193.16, 45,281.10 and 9,411.08

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Solution

The fourth proportional to 30,193.16, 45,281.10 and 9,411.08 is: 14,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193.16 : 45,281.10 = 9,411.08 : x
  2. Step 2: Convert to fraction form
    30,193.16/45,281.10 = 9,411.08/x
  3. Step 3: Cross multiply
    30,193.16x = 45,281.10 × 9,411.08
  4. Step 4: Simplify right side
    30,193.16x = 426,144,054.59
  5. Step 5: Solve for x
    x = 426,144,054.59/30,193.16
  6. Step 6: Final answer
    x = 14,113.93

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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.