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Finding the Fourth Proportional to 93,578.40, 140,374.80 and 31,248.96

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Solution

The fourth proportional to 93,578.40, 140,374.80 and 31,248.96 is: 46,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,578.40 : 140,374.80 = 31,248.96 : x
  2. Step 2: Convert to fraction form
    93,578.40/140,374.80 = 31,248.96/x
  3. Step 3: Cross multiply
    93,578.40x = 140,374.80 × 31,248.96
  4. Step 4: Simplify right side
    93,578.40x = 4,386,566,510.21
  5. Step 5: Solve for x
    x = 4,386,566,510.21/93,578.40
  6. Step 6: Final answer
    x = 46,875.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.