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Finding the Fourth Proportional to 142,934.40, 214,411.92 and 37,752

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Solution

The fourth proportional to 142,934.40, 214,411.92 and 37,752 is: 56,630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,934.40 : 214,411.92 = 37,752 : x
  2. Step 2: Convert to fraction form
    142,934.40/214,411.92 = 37,752/x
  3. Step 3: Cross multiply
    142,934.40x = 214,411.92 × 37,752
  4. Step 4: Simplify right side
    142,934.40x = 8,094,478,803.84
  5. Step 5: Solve for x
    x = 8,094,478,803.84/142,934.40
  6. Step 6: Final answer
    x = 56,630.73

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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.