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Finding the Fourth Proportional to 30,705.48, 46,038.51 and 14,688.41

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Solution

The fourth proportional to 30,705.48, 46,038.51 and 14,688.41 is: 22,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.48 : 46,038.51 = 14,688.41 : x
  2. Step 2: Convert to fraction form
    30,705.48/46,038.51 = 14,688.41/x
  3. Step 3: Cross multiply
    30,705.48x = 46,038.51 × 14,688.41
  4. Step 4: Simplify right side
    30,705.48x = 676,232,280.48
  5. Step 5: Solve for x
    x = 676,232,280.48/30,705.48
  6. Step 6: Final answer
    x = 22,023.18

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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.