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Finding the Fourth Proportional to 72,442, 99,970.32 and 42,248.26

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Solution

The fourth proportional to 72,442, 99,970.32 and 42,248.26 is: 58,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,442 : 99,970.32 = 42,248.26 : x
  2. Step 2: Convert to fraction form
    72,442/99,970.32 = 42,248.26/x
  3. Step 3: Cross multiply
    72,442x = 99,970.32 × 42,248.26
  4. Step 4: Simplify right side
    72,442x = 4,223,572,071.64
  5. Step 5: Solve for x
    x = 4,223,572,071.64/72,442
  6. Step 6: Final answer
    x = 58,302.81

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