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Finding the Fourth Proportional to 56,281.44, 77,688 and 32,417.76

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Solution

The fourth proportional to 56,281.44, 77,688 and 32,417.76 is: 44,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,281.44 : 77,688 = 32,417.76 : x
  2. Step 2: Convert to fraction form
    56,281.44/77,688 = 32,417.76/x
  3. Step 3: Cross multiply
    56,281.44x = 77,688 × 32,417.76
  4. Step 4: Simplify right side
    56,281.44x = 2,518,470,938.88
  5. Step 5: Solve for x
    x = 2,518,470,938.88/56,281.44
  6. Step 6: Final answer
    x = 44,747.81

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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.