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Finding the Fourth Proportional to 97,878.76, 146,827.86 and 31,302.16

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Solution

The fourth proportional to 97,878.76, 146,827.86 and 31,302.16 is: 46,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,878.76 : 146,827.86 = 31,302.16 : x
  2. Step 2: Convert to fraction form
    97,878.76/146,827.86 = 31,302.16/x
  3. Step 3: Cross multiply
    97,878.76x = 146,827.86 × 31,302.16
  4. Step 4: Simplify right side
    97,878.76x = 4,596,029,166.18
  5. Step 5: Solve for x
    x = 4,596,029,166.18/97,878.76
  6. Step 6: Final answer
    x = 46,956.35

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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.