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Finding the Fourth Proportional to 97,115.84, 134,017.74 and 54,095.16

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Solution

The fourth proportional to 97,115.84, 134,017.74 and 54,095.16 is: 74,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,115.84 : 134,017.74 = 54,095.16 : x
  2. Step 2: Convert to fraction form
    97,115.84/134,017.74 = 54,095.16/x
  3. Step 3: Cross multiply
    97,115.84x = 134,017.74 × 54,095.16
  4. Step 4: Simplify right side
    97,115.84x = 7,249,711,088.14
  5. Step 5: Solve for x
    x = 7,249,711,088.14/97,115.84
  6. Step 6: Final answer
    x = 74,650.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.