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Finding the Fourth Proportional to 56,499, 77,968.56 and 31,005.51

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Solution

The fourth proportional to 56,499, 77,968.56 and 31,005.51 is: 42,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,499 : 77,968.56 = 31,005.51 : x
  2. Step 2: Convert to fraction form
    56,499/77,968.56 = 31,005.51/x
  3. Step 3: Cross multiply
    56,499x = 77,968.56 × 31,005.51
  4. Step 4: Simplify right side
    56,499x = 2,417,454,966.77
  5. Step 5: Solve for x
    x = 2,417,454,966.77/56,499
  6. Step 6: Final answer
    x = 42,787.57

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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.