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Finding the Fourth Proportional to 65,038.94, 97,565.61 and 25,590.86

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Solution

The fourth proportional to 65,038.94, 97,565.61 and 25,590.86 is: 38,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.94 : 97,565.61 = 25,590.86 : x
  2. Step 2: Convert to fraction form
    65,038.94/97,565.61 = 25,590.86/x
  3. Step 3: Cross multiply
    65,038.94x = 97,565.61 × 25,590.86
  4. Step 4: Simplify right side
    65,038.94x = 2,496,787,866.32
  5. Step 5: Solve for x
    x = 2,496,787,866.32/65,038.94
  6. Step 6: Final answer
    x = 38,389.12

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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.