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Finding the Fourth Proportional to 97,411.96, 146,000.40 and 47,417.16

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Solution

The fourth proportional to 97,411.96, 146,000.40 and 47,417.16 is: 71,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,411.96 : 146,000.40 = 47,417.16 : x
  2. Step 2: Convert to fraction form
    97,411.96/146,000.40 = 47,417.16/x
  3. Step 3: Cross multiply
    97,411.96x = 146,000.40 × 47,417.16
  4. Step 4: Simplify right side
    97,411.96x = 6,922,924,326.86
  5. Step 5: Solve for x
    x = 6,922,924,326.86/97,411.96
  6. Step 6: Final answer
    x = 71,068.53

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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.