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Finding the Fourth Proportional to 30,831.60, 42,547.50 and 16,684.44

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Solution

The fourth proportional to 30,831.60, 42,547.50 and 16,684.44 is: 23,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.60 : 42,547.50 = 16,684.44 : x
  2. Step 2: Convert to fraction form
    30,831.60/42,547.50 = 16,684.44/x
  3. Step 3: Cross multiply
    30,831.60x = 42,547.50 × 16,684.44
  4. Step 4: Simplify right side
    30,831.60x = 709,881,210.90
  5. Step 5: Solve for x
    x = 709,881,210.90/30,831.60
  6. Step 6: Final answer
    x = 23,024.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.