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Finding the Fourth Proportional to 76,582, 105,686.32 and 42,590.32

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Solution

The fourth proportional to 76,582, 105,686.32 and 42,590.32 is: 58,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,582 : 105,686.32 = 42,590.32 : x
  2. Step 2: Convert to fraction form
    76,582/105,686.32 = 42,590.32/x
  3. Step 3: Cross multiply
    76,582x = 105,686.32 × 42,590.32
  4. Step 4: Simplify right side
    76,582x = 4,501,214,188.42
  5. Step 5: Solve for x
    x = 4,501,214,188.42/76,582
  6. Step 6: Final answer
    x = 58,776.40

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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.