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Finding the Fourth Proportional to 56,495.48, 77,961.12 and 31,001.28

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Solution

The fourth proportional to 56,495.48, 77,961.12 and 31,001.28 is: 42,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,495.48 : 77,961.12 = 31,001.28 : x
  2. Step 2: Convert to fraction form
    56,495.48/77,961.12 = 31,001.28/x
  3. Step 3: Cross multiply
    56,495.48x = 77,961.12 × 31,001.28
  4. Step 4: Simplify right side
    56,495.48x = 2,416,894,510.23
  5. Step 5: Solve for x
    x = 2,416,894,510.23/56,495.48
  6. Step 6: Final answer
    x = 42,780.32

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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.